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Finding the Fourth Proportional to 2,463.55, 3,398.97 and 1,577.82

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Solution

The fourth proportional to 2,463.55, 3,398.97 and 1,577.82 is: 2,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.55 : 3,398.97 = 1,577.82 : x
  2. Step 2: Convert to fraction form
    2,463.55/3,398.97 = 1,577.82/x
  3. Step 3: Cross multiply
    2,463.55x = 3,398.97 × 1,577.82
  4. Step 4: Simplify right side
    2,463.55x = 5,362,962.85
  5. Step 5: Solve for x
    x = 5,362,962.85/2,463.55
  6. Step 6: Final answer
    x = 2,176.92

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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.