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Finding the Fourth Proportional to 2,874.48, 3,967.14 and 1,615.60

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Solution

The fourth proportional to 2,874.48, 3,967.14 and 1,615.60 is: 2,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 3,967.14 = 1,615.60 : x
  2. Step 2: Convert to fraction form
    2,874.48/3,967.14 = 1,615.60/x
  3. Step 3: Cross multiply
    2,874.48x = 3,967.14 × 1,615.60
  4. Step 4: Simplify right side
    2,874.48x = 6,409,311.38
  5. Step 5: Solve for x
    x = 6,409,311.38/2,874.48
  6. Step 6: Final answer
    x = 2,229.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.