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Finding the Fourth Proportional to 1,882.74, 2,821.14 and 1,222.59

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Solution

The fourth proportional to 1,882.74, 2,821.14 and 1,222.59 is: 1,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.74 : 2,821.14 = 1,222.59 : x
  2. Step 2: Convert to fraction form
    1,882.74/2,821.14 = 1,222.59/x
  3. Step 3: Cross multiply
    1,882.74x = 2,821.14 × 1,222.59
  4. Step 4: Simplify right side
    1,882.74x = 3,449,097.55
  5. Step 5: Solve for x
    x = 3,449,097.55/1,882.74
  6. Step 6: Final answer
    x = 1,831.96

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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.