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Finding the Fourth Proportional to 1,650.85, 2,278.17 and 904.86

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Solution

The fourth proportional to 1,650.85, 2,278.17 and 904.86 is: 1,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.85 : 2,278.17 = 904.86 : x
  2. Step 2: Convert to fraction form
    1,650.85/2,278.17 = 904.86/x
  3. Step 3: Cross multiply
    1,650.85x = 2,278.17 × 904.86
  4. Step 4: Simplify right side
    1,650.85x = 2,061,424.91
  5. Step 5: Solve for x
    x = 2,061,424.91/1,650.85
  6. Step 6: Final answer
    x = 1,248.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.