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Finding the Fourth Proportional to 2,046.52, 3,061.86 and 1,431.28

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Solution

The fourth proportional to 2,046.52, 3,061.86 and 1,431.28 is: 2,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.52 : 3,061.86 = 1,431.28 : x
  2. Step 2: Convert to fraction form
    2,046.52/3,061.86 = 1,431.28/x
  3. Step 3: Cross multiply
    2,046.52x = 3,061.86 × 1,431.28
  4. Step 4: Simplify right side
    2,046.52x = 4,382,378.98
  5. Step 5: Solve for x
    x = 4,382,378.98/2,046.52
  6. Step 6: Final answer
    x = 2,141.38

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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.