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Finding the Fourth Proportional to 2,327.78, 3,491.70 and 1,301.78

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Solution

The fourth proportional to 2,327.78, 3,491.70 and 1,301.78 is: 1,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.78 : 3,491.70 = 1,301.78 : x
  2. Step 2: Convert to fraction form
    2,327.78/3,491.70 = 1,301.78/x
  3. Step 3: Cross multiply
    2,327.78x = 3,491.70 × 1,301.78
  4. Step 4: Simplify right side
    2,327.78x = 4,545,425.23
  5. Step 5: Solve for x
    x = 4,545,425.23/2,327.78
  6. Step 6: Final answer
    x = 1,952.69

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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.