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Finding the Fourth Proportional to 3,098.74, 4,274.76 and 2,051.68

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Solution

The fourth proportional to 3,098.74, 4,274.76 and 2,051.68 is: 2,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.74 : 4,274.76 = 2,051.68 : x
  2. Step 2: Convert to fraction form
    3,098.74/4,274.76 = 2,051.68/x
  3. Step 3: Cross multiply
    3,098.74x = 4,274.76 × 2,051.68
  4. Step 4: Simplify right side
    3,098.74x = 8,770,439.60
  5. Step 5: Solve for x
    x = 8,770,439.60/3,098.74
  6. Step 6: Final answer
    x = 2,830.32

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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.