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Finding the Fourth Proportional to 2,246.67, 3,101.99 and 1,575.90

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Solution

The fourth proportional to 2,246.67, 3,101.99 and 1,575.90 is: 2,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.67 : 3,101.99 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    2,246.67/3,101.99 = 1,575.90/x
  3. Step 3: Cross multiply
    2,246.67x = 3,101.99 × 1,575.90
  4. Step 4: Simplify right side
    2,246.67x = 4,888,418.16
  5. Step 5: Solve for x
    x = 4,888,418.16/2,246.67
  6. Step 6: Final answer
    x = 2,175.85

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