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Finding the Fourth Proportional to 2,332.67, 3,223.67 and 1,912.34

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Solution

The fourth proportional to 2,332.67, 3,223.67 and 1,912.34 is: 2,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.67 : 3,223.67 = 1,912.34 : x
  2. Step 2: Convert to fraction form
    2,332.67/3,223.67 = 1,912.34/x
  3. Step 3: Cross multiply
    2,332.67x = 3,223.67 × 1,912.34
  4. Step 4: Simplify right side
    2,332.67x = 6,164,751.59
  5. Step 5: Solve for x
    x = 6,164,751.59/2,332.67
  6. Step 6: Final answer
    x = 2,642.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.