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Finding the Fourth Proportional to 2,431.16, 3,646.02 and 870.92

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Solution

The fourth proportional to 2,431.16, 3,646.02 and 870.92 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.16 : 3,646.02 = 870.92 : x
  2. Step 2: Convert to fraction form
    2,431.16/3,646.02 = 870.92/x
  3. Step 3: Cross multiply
    2,431.16x = 3,646.02 × 870.92
  4. Step 4: Simplify right side
    2,431.16x = 3,175,391.74
  5. Step 5: Solve for x
    x = 3,175,391.74/2,431.16
  6. Step 6: Final answer
    x = 1,306.12

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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.