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Finding the Fourth Proportional to 3,283.32, 4,532.44 and 1,957.49

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Solution

The fourth proportional to 3,283.32, 4,532.44 and 1,957.49 is: 2,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.32 : 4,532.44 = 1,957.49 : x
  2. Step 2: Convert to fraction form
    3,283.32/4,532.44 = 1,957.49/x
  3. Step 3: Cross multiply
    3,283.32x = 4,532.44 × 1,957.49
  4. Step 4: Simplify right side
    3,283.32x = 8,872,202.76
  5. Step 5: Solve for x
    x = 8,872,202.76/3,283.32
  6. Step 6: Final answer
    x = 2,702.20

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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.