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Finding the Fourth Proportional to 2,708.62, 3,737.71 and 1,574.19

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Solution

The fourth proportional to 2,708.62, 3,737.71 and 1,574.19 is: 2,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.62 : 3,737.71 = 1,574.19 : x
  2. Step 2: Convert to fraction form
    2,708.62/3,737.71 = 1,574.19/x
  3. Step 3: Cross multiply
    2,708.62x = 3,737.71 × 1,574.19
  4. Step 4: Simplify right side
    2,708.62x = 5,883,853.66
  5. Step 5: Solve for x
    x = 5,883,853.66/2,708.62
  6. Step 6: Final answer
    x = 2,172.27

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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.