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Finding the Fourth Proportional to 2,661.48, 3,988.46 and 2,002.92

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Solution

The fourth proportional to 2,661.48, 3,988.46 and 2,002.92 is: 3,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.48 : 3,988.46 = 2,002.92 : x
  2. Step 2: Convert to fraction form
    2,661.48/3,988.46 = 2,002.92/x
  3. Step 3: Cross multiply
    2,661.48x = 3,988.46 × 2,002.92
  4. Step 4: Simplify right side
    2,661.48x = 7,988,566.30
  5. Step 5: Solve for x
    x = 7,988,566.30/2,661.48
  6. Step 6: Final answer
    x = 3,001.55

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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.