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Finding the Fourth Proportional to 2,318.68, 3,480.46 and 2,266.44

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Solution

The fourth proportional to 2,318.68, 3,480.46 and 2,266.44 is: 3,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.68 : 3,480.46 = 2,266.44 : x
  2. Step 2: Convert to fraction form
    2,318.68/3,480.46 = 2,266.44/x
  3. Step 3: Cross multiply
    2,318.68x = 3,480.46 × 2,266.44
  4. Step 4: Simplify right side
    2,318.68x = 7,888,253.76
  5. Step 5: Solve for x
    x = 7,888,253.76/2,318.68
  6. Step 6: Final answer
    x = 3,402.05

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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.