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Finding the Fourth Proportional to 2,343.62, 3,517.13 and 1,728.98

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Solution

The fourth proportional to 2,343.62, 3,517.13 and 1,728.98 is: 2,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.62 : 3,517.13 = 1,728.98 : x
  2. Step 2: Convert to fraction form
    2,343.62/3,517.13 = 1,728.98/x
  3. Step 3: Cross multiply
    2,343.62x = 3,517.13 × 1,728.98
  4. Step 4: Simplify right side
    2,343.62x = 6,081,034.16
  5. Step 5: Solve for x
    x = 6,081,034.16/2,343.62
  6. Step 6: Final answer
    x = 2,594.72

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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.