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Finding the Fourth Proportional to 3,122.39, 4,684.28 and 1,174.61

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Solution

The fourth proportional to 3,122.39, 4,684.28 and 1,174.61 is: 1,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.39 : 4,684.28 = 1,174.61 : x
  2. Step 2: Convert to fraction form
    3,122.39/4,684.28 = 1,174.61/x
  3. Step 3: Cross multiply
    3,122.39x = 4,684.28 × 1,174.61
  4. Step 4: Simplify right side
    3,122.39x = 5,502,202.13
  5. Step 5: Solve for x
    x = 5,502,202.13/3,122.39
  6. Step 6: Final answer
    x = 1,762.18

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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.