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Finding the Fourth Proportional to 2,574.36, 3,863.88 and 1,342.62

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Solution

The fourth proportional to 2,574.36, 3,863.88 and 1,342.62 is: 2,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.36 : 3,863.88 = 1,342.62 : x
  2. Step 2: Convert to fraction form
    2,574.36/3,863.88 = 1,342.62/x
  3. Step 3: Cross multiply
    2,574.36x = 3,863.88 × 1,342.62
  4. Step 4: Simplify right side
    2,574.36x = 5,187,722.57
  5. Step 5: Solve for x
    x = 5,187,722.57/2,574.36
  6. Step 6: Final answer
    x = 2,015.15

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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.