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Finding the Fourth Proportional to 1,539.52, 2,294 and 1,465.20

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Solution

The fourth proportional to 1,539.52, 2,294 and 1,465.20 is: 2,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.52 : 2,294 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    1,539.52/2,294 = 1,465.20/x
  3. Step 3: Cross multiply
    1,539.52x = 2,294 × 1,465.20
  4. Step 4: Simplify right side
    1,539.52x = 3,361,168.80
  5. Step 5: Solve for x
    x = 3,361,168.80/1,539.52
  6. Step 6: Final answer
    x = 2,183.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.