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Finding the Fourth Proportional to 2,958.38, 4,436.02 and 878.10

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Solution

The fourth proportional to 2,958.38, 4,436.02 and 878.10 is: 1,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.38 : 4,436.02 = 878.10 : x
  2. Step 2: Convert to fraction form
    2,958.38/4,436.02 = 878.10/x
  3. Step 3: Cross multiply
    2,958.38x = 4,436.02 × 878.10
  4. Step 4: Simplify right side
    2,958.38x = 3,895,269.16
  5. Step 5: Solve for x
    x = 3,895,269.16/2,958.38
  6. Step 6: Final answer
    x = 1,316.69

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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.