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Finding the Fourth Proportional to 3,117.81, 4,672.99 and 1,449.68

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Solution

The fourth proportional to 3,117.81, 4,672.99 and 1,449.68 is: 2,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.81 : 4,672.99 = 1,449.68 : x
  2. Step 2: Convert to fraction form
    3,117.81/4,672.99 = 1,449.68/x
  3. Step 3: Cross multiply
    3,117.81x = 4,672.99 × 1,449.68
  4. Step 4: Simplify right side
    3,117.81x = 6,774,309.53
  5. Step 5: Solve for x
    x = 6,774,309.53/3,117.81
  6. Step 6: Final answer
    x = 2,172.78

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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.