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Finding the Fourth Proportional to 2,681.92, 3,704.16 and 2,370.88

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Solution

The fourth proportional to 2,681.92, 3,704.16 and 2,370.88 is: 3,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.92 : 3,704.16 = 2,370.88 : x
  2. Step 2: Convert to fraction form
    2,681.92/3,704.16 = 2,370.88/x
  3. Step 3: Cross multiply
    2,681.92x = 3,704.16 × 2,370.88
  4. Step 4: Simplify right side
    2,681.92x = 8,782,118.86
  5. Step 5: Solve for x
    x = 8,782,118.86/2,681.92
  6. Step 6: Final answer
    x = 3,274.56

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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.