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Finding the Fourth Proportional to 2,448.88, 3,673.31 and 717.50

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Solution

The fourth proportional to 2,448.88, 3,673.31 and 717.50 is: 1,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.88 : 3,673.31 = 717.50 : x
  2. Step 2: Convert to fraction form
    2,448.88/3,673.31 = 717.50/x
  3. Step 3: Cross multiply
    2,448.88x = 3,673.31 × 717.50
  4. Step 4: Simplify right side
    2,448.88x = 2,635,599.93
  5. Step 5: Solve for x
    x = 2,635,599.93/2,448.88
  6. Step 6: Final answer
    x = 1,076.25

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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.