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Finding the Fourth Proportional to 2,420.82, 3,625.47 and 2,034.90

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Solution

The fourth proportional to 2,420.82, 3,625.47 and 2,034.90 is: 3,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.82 : 3,625.47 = 2,034.90 : x
  2. Step 2: Convert to fraction form
    2,420.82/3,625.47 = 2,034.90/x
  3. Step 3: Cross multiply
    2,420.82x = 3,625.47 × 2,034.90
  4. Step 4: Simplify right side
    2,420.82x = 7,377,468.90
  5. Step 5: Solve for x
    x = 7,377,468.90/2,420.82
  6. Step 6: Final answer
    x = 3,047.51

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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.