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Finding the Fourth Proportional to 2,631.34, 3,947.39 and 875.78

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Solution

The fourth proportional to 2,631.34, 3,947.39 and 875.78 is: 1,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.34 : 3,947.39 = 875.78 : x
  2. Step 2: Convert to fraction form
    2,631.34/3,947.39 = 875.78/x
  3. Step 3: Cross multiply
    2,631.34x = 3,947.39 × 875.78
  4. Step 4: Simplify right side
    2,631.34x = 3,457,045.21
  5. Step 5: Solve for x
    x = 3,457,045.21/2,631.34
  6. Step 6: Final answer
    x = 1,313.80

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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.