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Finding the Fourth Proportional to 3,283.55, 4,530.75 and 1,957.31

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Solution

The fourth proportional to 3,283.55, 4,530.75 and 1,957.31 is: 2,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.55 : 4,530.75 = 1,957.31 : x
  2. Step 2: Convert to fraction form
    3,283.55/4,530.75 = 1,957.31/x
  3. Step 3: Cross multiply
    3,283.55x = 4,530.75 × 1,957.31
  4. Step 4: Simplify right side
    3,283.55x = 8,868,082.28
  5. Step 5: Solve for x
    x = 8,868,082.28/3,283.55
  6. Step 6: Final answer
    x = 2,700.76

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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.