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Finding the Fourth Proportional to 2,312.18, 3,469.40 and 1,079.40

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Solution

The fourth proportional to 2,312.18, 3,469.40 and 1,079.40 is: 1,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.18 : 3,469.40 = 1,079.40 : x
  2. Step 2: Convert to fraction form
    2,312.18/3,469.40 = 1,079.40/x
  3. Step 3: Cross multiply
    2,312.18x = 3,469.40 × 1,079.40
  4. Step 4: Simplify right side
    2,312.18x = 3,744,882.02
  5. Step 5: Solve for x
    x = 3,744,882.02/2,312.18
  6. Step 6: Final answer
    x = 1,619.63

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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.