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Finding the Fourth Proportional to 2,497.32, 3,745.89 and 648.54

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Solution

The fourth proportional to 2,497.32, 3,745.89 and 648.54 is: 972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.32 : 3,745.89 = 648.54 : x
  2. Step 2: Convert to fraction form
    2,497.32/3,745.89 = 648.54/x
  3. Step 3: Cross multiply
    2,497.32x = 3,745.89 × 648.54
  4. Step 4: Simplify right side
    2,497.32x = 2,429,359.50
  5. Step 5: Solve for x
    x = 2,429,359.50/2,497.32
  6. Step 6: Final answer
    x = 972.79

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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.