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Finding the Fourth Proportional to 2,292.67, 3,163.89 and 1,348.50

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Solution

The fourth proportional to 2,292.67, 3,163.89 and 1,348.50 is: 1,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.67 : 3,163.89 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    2,292.67/3,163.89 = 1,348.50/x
  3. Step 3: Cross multiply
    2,292.67x = 3,163.89 × 1,348.50
  4. Step 4: Simplify right side
    2,292.67x = 4,266,507.61
  5. Step 5: Solve for x
    x = 4,266,507.61/2,292.67
  6. Step 6: Final answer
    x = 1,860.94

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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.