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Finding the Fourth Proportional to 2,262.92, 3,123.07 and 1,731.04

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Solution

The fourth proportional to 2,262.92, 3,123.07 and 1,731.04 is: 2,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.92 : 3,123.07 = 1,731.04 : x
  2. Step 2: Convert to fraction form
    2,262.92/3,123.07 = 1,731.04/x
  3. Step 3: Cross multiply
    2,262.92x = 3,123.07 × 1,731.04
  4. Step 4: Simplify right side
    2,262.92x = 5,406,146.96
  5. Step 5: Solve for x
    x = 5,406,146.96/2,262.92
  6. Step 6: Final answer
    x = 2,389.02

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