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Finding the Fourth Proportional to 1,647.76, 2,472.56 and 878.24

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Solution

The fourth proportional to 1,647.76, 2,472.56 and 878.24 is: 1,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.76 : 2,472.56 = 878.24 : x
  2. Step 2: Convert to fraction form
    1,647.76/2,472.56 = 878.24/x
  3. Step 3: Cross multiply
    1,647.76x = 2,472.56 × 878.24
  4. Step 4: Simplify right side
    1,647.76x = 2,171,501.09
  5. Step 5: Solve for x
    x = 2,171,501.09/1,647.76
  6. Step 6: Final answer
    x = 1,317.85

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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.