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Finding the Fourth Proportional to 2,507.90, 3,760.56 and 1,046.66

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Solution

The fourth proportional to 2,507.90, 3,760.56 and 1,046.66 is: 1,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.90 : 3,760.56 = 1,046.66 : x
  2. Step 2: Convert to fraction form
    2,507.90/3,760.56 = 1,046.66/x
  3. Step 3: Cross multiply
    2,507.90x = 3,760.56 × 1,046.66
  4. Step 4: Simplify right side
    2,507.90x = 3,936,008.93
  5. Step 5: Solve for x
    x = 3,936,008.93/2,507.90
  6. Step 6: Final answer
    x = 1,569.45

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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.