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Finding the Fourth Proportional to 2,670.88, 3,974.60 and 2,567.20

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Solution

The fourth proportional to 2,670.88, 3,974.60 and 2,567.20 is: 3,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.88 : 3,974.60 = 2,567.20 : x
  2. Step 2: Convert to fraction form
    2,670.88/3,974.60 = 2,567.20/x
  3. Step 3: Cross multiply
    2,670.88x = 3,974.60 × 2,567.20
  4. Step 4: Simplify right side
    2,670.88x = 10,203,593.12
  5. Step 5: Solve for x
    x = 10,203,593.12/2,670.88
  6. Step 6: Final answer
    x = 3,820.31

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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.