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Finding the Fourth Proportional to 1,647.12, 2,471.90 and 781.44

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Solution

The fourth proportional to 1,647.12, 2,471.90 and 781.44 is: 1,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.12 : 2,471.90 = 781.44 : x
  2. Step 2: Convert to fraction form
    1,647.12/2,471.90 = 781.44/x
  3. Step 3: Cross multiply
    1,647.12x = 2,471.90 × 781.44
  4. Step 4: Simplify right side
    1,647.12x = 1,931,641.54
  5. Step 5: Solve for x
    x = 1,931,641.54/1,647.12
  6. Step 6: Final answer
    x = 1,172.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.