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Finding the Fourth Proportional to 1,472.43, 2,205.70 and 887.11

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Solution

The fourth proportional to 1,472.43, 2,205.70 and 887.11 is: 1,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.43 : 2,205.70 = 887.11 : x
  2. Step 2: Convert to fraction form
    1,472.43/2,205.70 = 887.11/x
  3. Step 3: Cross multiply
    1,472.43x = 2,205.70 × 887.11
  4. Step 4: Simplify right side
    1,472.43x = 1,956,694.12
  5. Step 5: Solve for x
    x = 1,956,694.12/1,472.43
  6. Step 6: Final answer
    x = 1,328.88

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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.