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Finding the Fourth Proportional to 1,678.24, 2,517.76 and 754.24

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Solution

The fourth proportional to 1,678.24, 2,517.76 and 754.24 is: 1,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.24 : 2,517.76 = 754.24 : x
  2. Step 2: Convert to fraction form
    1,678.24/2,517.76 = 754.24/x
  3. Step 3: Cross multiply
    1,678.24x = 2,517.76 × 754.24
  4. Step 4: Simplify right side
    1,678.24x = 1,898,995.30
  5. Step 5: Solve for x
    x = 1,898,995.30/1,678.24
  6. Step 6: Final answer
    x = 1,131.54

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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.