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Finding the Fourth Proportional to 3,283.56, 4,532.40 and 1,957.68

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Solution

The fourth proportional to 3,283.56, 4,532.40 and 1,957.68 is: 2,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.56 : 4,532.40 = 1,957.68 : x
  2. Step 2: Convert to fraction form
    3,283.56/4,532.40 = 1,957.68/x
  3. Step 3: Cross multiply
    3,283.56x = 4,532.40 × 1,957.68
  4. Step 4: Simplify right side
    3,283.56x = 8,872,988.83
  5. Step 5: Solve for x
    x = 8,872,988.83/3,283.56
  6. Step 6: Final answer
    x = 2,702.25

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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.