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Finding the Fourth Proportional to 3,987.25, 5,980.88 and 1,648.58

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Solution

The fourth proportional to 3,987.25, 5,980.88 and 1,648.58 is: 2,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.25 : 5,980.88 = 1,648.58 : x
  2. Step 2: Convert to fraction form
    3,987.25/5,980.88 = 1,648.58/x
  3. Step 3: Cross multiply
    3,987.25x = 5,980.88 × 1,648.58
  4. Step 4: Simplify right side
    3,987.25x = 9,859,959.15
  5. Step 5: Solve for x
    x = 9,859,959.15/3,987.25
  6. Step 6: Final answer
    x = 2,472.87

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1.5x scale

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.