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Finding the Fourth Proportional to 3,098.13, 4,274.19 and 1,978.78

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Solution

The fourth proportional to 3,098.13, 4,274.19 and 1,978.78 is: 2,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.13 : 4,274.19 = 1,978.78 : x
  2. Step 2: Convert to fraction form
    3,098.13/4,274.19 = 1,978.78/x
  3. Step 3: Cross multiply
    3,098.13x = 4,274.19 × 1,978.78
  4. Step 4: Simplify right side
    3,098.13x = 8,457,671.79
  5. Step 5: Solve for x
    x = 8,457,671.79/3,098.13
  6. Step 6: Final answer
    x = 2,729.93

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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.