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Finding the Fourth Proportional to 2,448.24, 3,669.44 and 987.20

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Solution

The fourth proportional to 2,448.24, 3,669.44 and 987.20 is: 1,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.24 : 3,669.44 = 987.20 : x
  2. Step 2: Convert to fraction form
    2,448.24/3,669.44 = 987.20/x
  3. Step 3: Cross multiply
    2,448.24x = 3,669.44 × 987.20
  4. Step 4: Simplify right side
    2,448.24x = 3,622,471.17
  5. Step 5: Solve for x
    x = 3,622,471.17/2,448.24
  6. Step 6: Final answer
    x = 1,479.62

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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.