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Finding the Fourth Proportional to 1,555.92, 2,331.80 and 1,143.12

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Solution

The fourth proportional to 1,555.92, 2,331.80 and 1,143.12 is: 1,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.92 : 2,331.80 = 1,143.12 : x
  2. Step 2: Convert to fraction form
    1,555.92/2,331.80 = 1,143.12/x
  3. Step 3: Cross multiply
    1,555.92x = 2,331.80 × 1,143.12
  4. Step 4: Simplify right side
    1,555.92x = 2,665,527.22
  5. Step 5: Solve for x
    x = 2,665,527.22/1,555.92
  6. Step 6: Final answer
    x = 1,713.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.