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Finding the Fourth Proportional to 3,282.93, 4,531.65 and 1,957.97

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Solution

The fourth proportional to 3,282.93, 4,531.65 and 1,957.97 is: 2,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.93 : 4,531.65 = 1,957.97 : x
  2. Step 2: Convert to fraction form
    3,282.93/4,531.65 = 1,957.97/x
  3. Step 3: Cross multiply
    3,282.93x = 4,531.65 × 1,957.97
  4. Step 4: Simplify right side
    3,282.93x = 8,872,838.74
  5. Step 5: Solve for x
    x = 8,872,838.74/3,282.93
  6. Step 6: Final answer
    x = 2,702.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.