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Finding the Fourth Proportional to 2,462.62, 3,396.80 and 1,577.02

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Solution

The fourth proportional to 2,462.62, 3,396.80 and 1,577.02 is: 2,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.62 : 3,396.80 = 1,577.02 : x
  2. Step 2: Convert to fraction form
    2,462.62/3,396.80 = 1,577.02/x
  3. Step 3: Cross multiply
    2,462.62x = 3,396.80 × 1,577.02
  4. Step 4: Simplify right side
    2,462.62x = 5,356,821.54
  5. Step 5: Solve for x
    x = 5,356,821.54/2,462.62
  6. Step 6: Final answer
    x = 2,175.25

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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.