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Finding the Fourth Proportional to 2,397.96, 3,596.96 and 754.47

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Solution

The fourth proportional to 2,397.96, 3,596.96 and 754.47 is: 1,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.96 : 3,596.96 = 754.47 : x
  2. Step 2: Convert to fraction form
    2,397.96/3,596.96 = 754.47/x
  3. Step 3: Cross multiply
    2,397.96x = 3,596.96 × 754.47
  4. Step 4: Simplify right side
    2,397.96x = 2,713,798.41
  5. Step 5: Solve for x
    x = 2,713,798.41/2,397.96
  6. Step 6: Final answer
    x = 1,131.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.