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Finding the Fourth Proportional to 2,691.81, 4,037.03 and 1,909.53

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Solution

The fourth proportional to 2,691.81, 4,037.03 and 1,909.53 is: 2,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.81 : 4,037.03 = 1,909.53 : x
  2. Step 2: Convert to fraction form
    2,691.81/4,037.03 = 1,909.53/x
  3. Step 3: Cross multiply
    2,691.81x = 4,037.03 × 1,909.53
  4. Step 4: Simplify right side
    2,691.81x = 7,708,814.48
  5. Step 5: Solve for x
    x = 7,708,814.48/2,691.81
  6. Step 6: Final answer
    x = 2,863.81

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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.