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Finding the Fourth Proportional to 2,309.46, 3,463.78 and 749.23

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Solution

The fourth proportional to 2,309.46, 3,463.78 and 749.23 is: 1,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.46 : 3,463.78 = 749.23 : x
  2. Step 2: Convert to fraction form
    2,309.46/3,463.78 = 749.23/x
  3. Step 3: Cross multiply
    2,309.46x = 3,463.78 × 749.23
  4. Step 4: Simplify right side
    2,309.46x = 2,595,167.89
  5. Step 5: Solve for x
    x = 2,595,167.89/2,309.46
  6. Step 6: Final answer
    x = 1,123.71

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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.