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Finding the Fourth Proportional to 3,126.72, 4,689.13 and 1,046.19

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Solution

The fourth proportional to 3,126.72, 4,689.13 and 1,046.19 is: 1,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.72 : 4,689.13 = 1,046.19 : x
  2. Step 2: Convert to fraction form
    3,126.72/4,689.13 = 1,046.19/x
  3. Step 3: Cross multiply
    3,126.72x = 4,689.13 × 1,046.19
  4. Step 4: Simplify right side
    3,126.72x = 4,905,720.91
  5. Step 5: Solve for x
    x = 4,905,720.91/3,126.72
  6. Step 6: Final answer
    x = 1,568.97

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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.