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Finding the Fourth Proportional to 2,147.40, 3,220.08 and 760.38

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Solution

The fourth proportional to 2,147.40, 3,220.08 and 760.38 is: 1,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.40 : 3,220.08 = 760.38 : x
  2. Step 2: Convert to fraction form
    2,147.40/3,220.08 = 760.38/x
  3. Step 3: Cross multiply
    2,147.40x = 3,220.08 × 760.38
  4. Step 4: Simplify right side
    2,147.40x = 2,448,484.43
  5. Step 5: Solve for x
    x = 2,448,484.43/2,147.40
  6. Step 6: Final answer
    x = 1,140.21

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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.