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Finding the Fourth Proportional to 2,397.67, 3,596.39 and 754.18

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Solution

The fourth proportional to 2,397.67, 3,596.39 and 754.18 is: 1,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.67 : 3,596.39 = 754.18 : x
  2. Step 2: Convert to fraction form
    2,397.67/3,596.39 = 754.18/x
  3. Step 3: Cross multiply
    2,397.67x = 3,596.39 × 754.18
  4. Step 4: Simplify right side
    2,397.67x = 2,712,321.64
  5. Step 5: Solve for x
    x = 2,712,321.64/2,397.67
  6. Step 6: Final answer
    x = 1,131.23

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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.