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Finding the Fourth Proportional to 2,314.67, 3,472.19 and 754.26

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Solution

The fourth proportional to 2,314.67, 3,472.19 and 754.26 is: 1,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.67 : 3,472.19 = 754.26 : x
  2. Step 2: Convert to fraction form
    2,314.67/3,472.19 = 754.26/x
  3. Step 3: Cross multiply
    2,314.67x = 3,472.19 × 754.26
  4. Step 4: Simplify right side
    2,314.67x = 2,618,934.03
  5. Step 5: Solve for x
    x = 2,618,934.03/2,314.67
  6. Step 6: Final answer
    x = 1,131.45

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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.