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Finding the Fourth Proportional to 2,290.62, 3,428.56 and 2,074.82

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Solution

The fourth proportional to 2,290.62, 3,428.56 and 2,074.82 is: 3,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.62 : 3,428.56 = 2,074.82 : x
  2. Step 2: Convert to fraction form
    2,290.62/3,428.56 = 2,074.82/x
  3. Step 3: Cross multiply
    2,290.62x = 3,428.56 × 2,074.82
  4. Step 4: Simplify right side
    2,290.62x = 7,113,644.86
  5. Step 5: Solve for x
    x = 7,113,644.86/2,290.62
  6. Step 6: Final answer
    x = 3,105.55

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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.