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Finding the Fourth Proportional to 2,412.97, 3,620.49 and 1,026.61

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Solution

The fourth proportional to 2,412.97, 3,620.49 and 1,026.61 is: 1,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.97 : 3,620.49 = 1,026.61 : x
  2. Step 2: Convert to fraction form
    2,412.97/3,620.49 = 1,026.61/x
  3. Step 3: Cross multiply
    2,412.97x = 3,620.49 × 1,026.61
  4. Step 4: Simplify right side
    2,412.97x = 3,716,831.24
  5. Step 5: Solve for x
    x = 3,716,831.24/2,412.97
  6. Step 6: Final answer
    x = 1,540.36

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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.