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Finding the Fourth Proportional to 2,574.56, 3,862 and 2,443.36

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Solution

The fourth proportional to 2,574.56, 3,862 and 2,443.36 is: 3,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.56 : 3,862 = 2,443.36 : x
  2. Step 2: Convert to fraction form
    2,574.56/3,862 = 2,443.36/x
  3. Step 3: Cross multiply
    2,574.56x = 3,862 × 2,443.36
  4. Step 4: Simplify right side
    2,574.56x = 9,436,256.32
  5. Step 5: Solve for x
    x = 9,436,256.32/2,574.56
  6. Step 6: Final answer
    x = 3,665.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.