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Finding the Fourth Proportional to 2,605.43, 3,908.05 and 1,046.14

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Solution

The fourth proportional to 2,605.43, 3,908.05 and 1,046.14 is: 1,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.43 : 3,908.05 = 1,046.14 : x
  2. Step 2: Convert to fraction form
    2,605.43/3,908.05 = 1,046.14/x
  3. Step 3: Cross multiply
    2,605.43x = 3,908.05 × 1,046.14
  4. Step 4: Simplify right side
    2,605.43x = 4,088,355.04
  5. Step 5: Solve for x
    x = 4,088,355.04/2,605.43
  6. Step 6: Final answer
    x = 1,569.17

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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.