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Finding the Fourth Proportional to 2,407.19, 3,593.07 and 2,231.33

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Solution

The fourth proportional to 2,407.19, 3,593.07 and 2,231.33 is: 3,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.19 : 3,593.07 = 2,231.33 : x
  2. Step 2: Convert to fraction form
    2,407.19/3,593.07 = 2,231.33/x
  3. Step 3: Cross multiply
    2,407.19x = 3,593.07 × 2,231.33
  4. Step 4: Simplify right side
    2,407.19x = 8,017,306.92
  5. Step 5: Solve for x
    x = 8,017,306.92/2,407.19
  6. Step 6: Final answer
    x = 3,330.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.