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Finding the Fourth Proportional to 2,663.42, 3,675.99 and 1,669.55

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Solution

The fourth proportional to 2,663.42, 3,675.99 and 1,669.55 is: 2,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.42 : 3,675.99 = 1,669.55 : x
  2. Step 2: Convert to fraction form
    2,663.42/3,675.99 = 1,669.55/x
  3. Step 3: Cross multiply
    2,663.42x = 3,675.99 × 1,669.55
  4. Step 4: Simplify right side
    2,663.42x = 6,137,230.72
  5. Step 5: Solve for x
    x = 6,137,230.72/2,663.42
  6. Step 6: Final answer
    x = 2,304.27

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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.