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Finding the Fourth Proportional to 2,540.62, 3,506.12 and 1,421.56

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Solution

The fourth proportional to 2,540.62, 3,506.12 and 1,421.56 is: 1,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.62 : 3,506.12 = 1,421.56 : x
  2. Step 2: Convert to fraction form
    2,540.62/3,506.12 = 1,421.56/x
  3. Step 3: Cross multiply
    2,540.62x = 3,506.12 × 1,421.56
  4. Step 4: Simplify right side
    2,540.62x = 4,984,159.95
  5. Step 5: Solve for x
    x = 4,984,159.95/2,540.62
  6. Step 6: Final answer
    x = 1,961.79

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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.