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Finding the Fourth Proportional to 2,704.47, 3,734.28 and 2,116.68

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Solution

The fourth proportional to 2,704.47, 3,734.28 and 2,116.68 is: 2,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.47 : 3,734.28 = 2,116.68 : x
  2. Step 2: Convert to fraction form
    2,704.47/3,734.28 = 2,116.68/x
  3. Step 3: Cross multiply
    2,704.47x = 3,734.28 × 2,116.68
  4. Step 4: Simplify right side
    2,704.47x = 7,904,275.79
  5. Step 5: Solve for x
    x = 7,904,275.79/2,704.47
  6. Step 6: Final answer
    x = 2,922.67

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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.