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Finding the Fourth Proportional to 1,520.87, 2,278.71 and 934.10

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Solution

The fourth proportional to 1,520.87, 2,278.71 and 934.10 is: 1,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.87 : 2,278.71 = 934.10 : x
  2. Step 2: Convert to fraction form
    1,520.87/2,278.71 = 934.10/x
  3. Step 3: Cross multiply
    1,520.87x = 2,278.71 × 934.10
  4. Step 4: Simplify right side
    1,520.87x = 2,128,543.01
  5. Step 5: Solve for x
    x = 2,128,543.01/1,520.87
  6. Step 6: Final answer
    x = 1,399.56

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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.