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Finding the Fourth Proportional to 2,930.67, 4,395.96 and 878.67

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Solution

The fourth proportional to 2,930.67, 4,395.96 and 878.67 is: 1,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.67 : 4,395.96 = 878.67 : x
  2. Step 2: Convert to fraction form
    2,930.67/4,395.96 = 878.67/x
  3. Step 3: Cross multiply
    2,930.67x = 4,395.96 × 878.67
  4. Step 4: Simplify right side
    2,930.67x = 3,862,598.17
  5. Step 5: Solve for x
    x = 3,862,598.17/2,930.67
  6. Step 6: Final answer
    x = 1,317.99

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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.