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Finding the Fourth Proportional to 1,534.28, 2,304.05 and 1,465.02

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Solution

The fourth proportional to 1,534.28, 2,304.05 and 1,465.02 is: 2,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.28 : 2,304.05 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    1,534.28/2,304.05 = 1,465.02/x
  3. Step 3: Cross multiply
    1,534.28x = 2,304.05 × 1,465.02
  4. Step 4: Simplify right side
    1,534.28x = 3,375,472.01
  5. Step 5: Solve for x
    x = 3,375,472.01/1,534.28
  6. Step 6: Final answer
    x = 2,200.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.