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Finding the Fourth Proportional to 1,519.92, 2,278.26 and 654.30

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Solution

The fourth proportional to 1,519.92, 2,278.26 and 654.30 is: 980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.92 : 2,278.26 = 654.30 : x
  2. Step 2: Convert to fraction form
    1,519.92/2,278.26 = 654.30/x
  3. Step 3: Cross multiply
    1,519.92x = 2,278.26 × 654.30
  4. Step 4: Simplify right side
    1,519.92x = 1,490,665.52
  5. Step 5: Solve for x
    x = 1,490,665.52/1,519.92
  6. Step 6: Final answer
    x = 980.75

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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.