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Finding the Fourth Proportional to 3,283.66, 4,531.44 and 1,957.42

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Solution

The fourth proportional to 3,283.66, 4,531.44 and 1,957.42 is: 2,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.66 : 4,531.44 = 1,957.42 : x
  2. Step 2: Convert to fraction form
    3,283.66/4,531.44 = 1,957.42/x
  3. Step 3: Cross multiply
    3,283.66x = 4,531.44 × 1,957.42
  4. Step 4: Simplify right side
    3,283.66x = 8,869,931.28
  5. Step 5: Solve for x
    x = 8,869,931.28/3,283.66
  6. Step 6: Final answer
    x = 2,701.23

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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.