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Finding the Fourth Proportional to 1,624.76, 2,242.17 and 878.72

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Solution

The fourth proportional to 1,624.76, 2,242.17 and 878.72 is: 1,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.76 : 2,242.17 = 878.72 : x
  2. Step 2: Convert to fraction form
    1,624.76/2,242.17 = 878.72/x
  3. Step 3: Cross multiply
    1,624.76x = 2,242.17 × 878.72
  4. Step 4: Simplify right side
    1,624.76x = 1,970,236.82
  5. Step 5: Solve for x
    x = 1,970,236.82/1,624.76
  6. Step 6: Final answer
    x = 1,212.63

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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.