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Finding the Fourth Proportional to 2,148.18, 3,220.22 and 760.62

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Solution

The fourth proportional to 2,148.18, 3,220.22 and 760.62 is: 1,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.18 : 3,220.22 = 760.62 : x
  2. Step 2: Convert to fraction form
    2,148.18/3,220.22 = 760.62/x
  3. Step 3: Cross multiply
    2,148.18x = 3,220.22 × 760.62
  4. Step 4: Simplify right side
    2,148.18x = 2,449,363.74
  5. Step 5: Solve for x
    x = 2,449,363.74/2,148.18
  6. Step 6: Final answer
    x = 1,140.20

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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.