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Finding the Fourth Proportional to 1,627.98, 2,428.86 and 1,422.24

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Solution

The fourth proportional to 1,627.98, 2,428.86 and 1,422.24 is: 2,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.98 : 2,428.86 = 1,422.24 : x
  2. Step 2: Convert to fraction form
    1,627.98/2,428.86 = 1,422.24/x
  3. Step 3: Cross multiply
    1,627.98x = 2,428.86 × 1,422.24
  4. Step 4: Simplify right side
    1,627.98x = 3,454,421.85
  5. Step 5: Solve for x
    x = 3,454,421.85/1,627.98
  6. Step 6: Final answer
    x = 2,121.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.