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Finding the Fourth Proportional to 1,852.88, 2,556.62 and 1,056.19

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Solution

The fourth proportional to 1,852.88, 2,556.62 and 1,056.19 is: 1,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.88 : 2,556.62 = 1,056.19 : x
  2. Step 2: Convert to fraction form
    1,852.88/2,556.62 = 1,056.19/x
  3. Step 3: Cross multiply
    1,852.88x = 2,556.62 × 1,056.19
  4. Step 4: Simplify right side
    1,852.88x = 2,700,282.31
  5. Step 5: Solve for x
    x = 2,700,282.31/1,852.88
  6. Step 6: Final answer
    x = 1,457.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.