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Finding the Fourth Proportional to 2,489.76, 3,434.67 and 1,494.68

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Solution

The fourth proportional to 2,489.76, 3,434.67 and 1,494.68 is: 2,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.76 : 3,434.67 = 1,494.68 : x
  2. Step 2: Convert to fraction form
    2,489.76/3,434.67 = 1,494.68/x
  3. Step 3: Cross multiply
    2,489.76x = 3,434.67 × 1,494.68
  4. Step 4: Simplify right side
    2,489.76x = 5,133,715.38
  5. Step 5: Solve for x
    x = 5,133,715.38/2,489.76
  6. Step 6: Final answer
    x = 2,061.93

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Why These Related Problems?

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