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Finding the Fourth Proportional to 1,517.32, 2,276.22 and 1,023.40

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Solution

The fourth proportional to 1,517.32, 2,276.22 and 1,023.40 is: 1,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.32 : 2,276.22 = 1,023.40 : x
  2. Step 2: Convert to fraction form
    1,517.32/2,276.22 = 1,023.40/x
  3. Step 3: Cross multiply
    1,517.32x = 2,276.22 × 1,023.40
  4. Step 4: Simplify right side
    1,517.32x = 2,329,483.55
  5. Step 5: Solve for x
    x = 2,329,483.55/1,517.32
  6. Step 6: Final answer
    x = 1,535.26

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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.