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Finding the Fourth Proportional to 1,782.19, 2,459.48 and 996.23

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Solution

The fourth proportional to 1,782.19, 2,459.48 and 996.23 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.19 : 2,459.48 = 996.23 : x
  2. Step 2: Convert to fraction form
    1,782.19/2,459.48 = 996.23/x
  3. Step 3: Cross multiply
    1,782.19x = 2,459.48 × 996.23
  4. Step 4: Simplify right side
    1,782.19x = 2,450,208.93
  5. Step 5: Solve for x
    x = 2,450,208.93/1,782.19
  6. Step 6: Final answer
    x = 1,374.83

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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.