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Finding the Fourth Proportional to 2,281.39, 3,419 and 1,500.22

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Solution

The fourth proportional to 2,281.39, 3,419 and 1,500.22 is: 2,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.39 : 3,419 = 1,500.22 : x
  2. Step 2: Convert to fraction form
    2,281.39/3,419 = 1,500.22/x
  3. Step 3: Cross multiply
    2,281.39x = 3,419 × 1,500.22
  4. Step 4: Simplify right side
    2,281.39x = 5,129,252.18
  5. Step 5: Solve for x
    x = 5,129,252.18/2,281.39
  6. Step 6: Final answer
    x = 2,248.30

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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.