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Finding the Fourth Proportional to 2,989.74, 4,123.80 and 2,741.88

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Solution

The fourth proportional to 2,989.74, 4,123.80 and 2,741.88 is: 3,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.74 : 4,123.80 = 2,741.88 : x
  2. Step 2: Convert to fraction form
    2,989.74/4,123.80 = 2,741.88/x
  3. Step 3: Cross multiply
    2,989.74x = 4,123.80 × 2,741.88
  4. Step 4: Simplify right side
    2,989.74x = 11,306,964.74
  5. Step 5: Solve for x
    x = 11,306,964.74/2,989.74
  6. Step 6: Final answer
    x = 3,781.92

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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.