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Finding the Fourth Proportional to 2,294.80, 3,438.40 and 1,319.20

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Solution

The fourth proportional to 2,294.80, 3,438.40 and 1,319.20 is: 1,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.80 : 3,438.40 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    2,294.80/3,438.40 = 1,319.20/x
  3. Step 3: Cross multiply
    2,294.80x = 3,438.40 × 1,319.20
  4. Step 4: Simplify right side
    2,294.80x = 4,535,937.28
  5. Step 5: Solve for x
    x = 4,535,937.28/2,294.80
  6. Step 6: Final answer
    x = 1,976.62

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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.