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Finding the Fourth Proportional to 1,555.08, 2,145.87 and 891.83

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Solution

The fourth proportional to 1,555.08, 2,145.87 and 891.83 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.08 : 2,145.87 = 891.83 : x
  2. Step 2: Convert to fraction form
    1,555.08/2,145.87 = 891.83/x
  3. Step 3: Cross multiply
    1,555.08x = 2,145.87 × 891.83
  4. Step 4: Simplify right side
    1,555.08x = 1,913,740.51
  5. Step 5: Solve for x
    x = 1,913,740.51/1,555.08
  6. Step 6: Final answer
    x = 1,230.64

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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.