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Finding the Fourth Proportional to 3,122.76, 4,301.32 and 2,176.86

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Solution

The fourth proportional to 3,122.76, 4,301.32 and 2,176.86 is: 2,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.76 : 4,301.32 = 2,176.86 : x
  2. Step 2: Convert to fraction form
    3,122.76/4,301.32 = 2,176.86/x
  3. Step 3: Cross multiply
    3,122.76x = 4,301.32 × 2,176.86
  4. Step 4: Simplify right side
    3,122.76x = 9,363,349.95
  5. Step 5: Solve for x
    x = 9,363,349.95/3,122.76
  6. Step 6: Final answer
    x = 2,998.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.