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Finding the Fourth Proportional to 1,544.39, 2,318.15 and 1,369.83

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Solution

The fourth proportional to 1,544.39, 2,318.15 and 1,369.83 is: 2,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.39 : 2,318.15 = 1,369.83 : x
  2. Step 2: Convert to fraction form
    1,544.39/2,318.15 = 1,369.83/x
  3. Step 3: Cross multiply
    1,544.39x = 2,318.15 × 1,369.83
  4. Step 4: Simplify right side
    1,544.39x = 3,175,471.41
  5. Step 5: Solve for x
    x = 3,175,471.41/1,544.39
  6. Step 6: Final answer
    x = 2,056.13

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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.