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Finding the Fourth Proportional to 2,648.30, 3,972.55 and 700.52

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Solution

The fourth proportional to 2,648.30, 3,972.55 and 700.52 is: 1,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.30 : 3,972.55 = 700.52 : x
  2. Step 2: Convert to fraction form
    2,648.30/3,972.55 = 700.52/x
  3. Step 3: Cross multiply
    2,648.30x = 3,972.55 × 700.52
  4. Step 4: Simplify right side
    2,648.30x = 2,782,858.91
  5. Step 5: Solve for x
    x = 2,782,858.91/2,648.30
  6. Step 6: Final answer
    x = 1,050.81

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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.