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Finding the Fourth Proportional to 2,269.59, 3,396.15 and 2,214.90

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Solution

The fourth proportional to 2,269.59, 3,396.15 and 2,214.90 is: 3,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.59 : 3,396.15 = 2,214.90 : x
  2. Step 2: Convert to fraction form
    2,269.59/3,396.15 = 2,214.90/x
  3. Step 3: Cross multiply
    2,269.59x = 3,396.15 × 2,214.90
  4. Step 4: Simplify right side
    2,269.59x = 7,522,132.64
  5. Step 5: Solve for x
    x = 7,522,132.64/2,269.59
  6. Step 6: Final answer
    x = 3,314.31

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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.