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Finding the Fourth Proportional to 2,650.83, 3,658.01 and 1,471.83

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Solution

The fourth proportional to 2,650.83, 3,658.01 and 1,471.83 is: 2,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.83 : 3,658.01 = 1,471.83 : x
  2. Step 2: Convert to fraction form
    2,650.83/3,658.01 = 1,471.83/x
  3. Step 3: Cross multiply
    2,650.83x = 3,658.01 × 1,471.83
  4. Step 4: Simplify right side
    2,650.83x = 5,383,961.50
  5. Step 5: Solve for x
    x = 5,383,961.50/2,650.83
  6. Step 6: Final answer
    x = 2,031.05

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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.