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Finding the Fourth Proportional to 2,650.78, 3,658.06 and 1,471.85

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Solution

The fourth proportional to 2,650.78, 3,658.06 and 1,471.85 is: 2,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.78 : 3,658.06 = 1,471.85 : x
  2. Step 2: Convert to fraction form
    2,650.78/3,658.06 = 1,471.85/x
  3. Step 3: Cross multiply
    2,650.78x = 3,658.06 × 1,471.85
  4. Step 4: Simplify right side
    2,650.78x = 5,384,102.79
  5. Step 5: Solve for x
    x = 5,384,102.79/2,650.78
  6. Step 6: Final answer
    x = 2,031.14

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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.