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Finding the Fourth Proportional to 1,647.48, 2,471.22 and 1,337.86

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Solution

The fourth proportional to 1,647.48, 2,471.22 and 1,337.86 is: 2,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.48 : 2,471.22 = 1,337.86 : x
  2. Step 2: Convert to fraction form
    1,647.48/2,471.22 = 1,337.86/x
  3. Step 3: Cross multiply
    1,647.48x = 2,471.22 × 1,337.86
  4. Step 4: Simplify right side
    1,647.48x = 3,306,146.39
  5. Step 5: Solve for x
    x = 3,306,146.39/1,647.48
  6. Step 6: Final answer
    x = 2,006.80

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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.