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Finding the Fourth Proportional to 2,507.59, 3,761.73 and 1,046.40

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Solution

The fourth proportional to 2,507.59, 3,761.73 and 1,046.40 is: 1,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.59 : 3,761.73 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    2,507.59/3,761.73 = 1,046.40/x
  3. Step 3: Cross multiply
    2,507.59x = 3,761.73 × 1,046.40
  4. Step 4: Simplify right side
    2,507.59x = 3,936,274.27
  5. Step 5: Solve for x
    x = 3,936,274.27/2,507.59
  6. Step 6: Final answer
    x = 1,569.74

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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.