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Finding the Fourth Proportional to 2,675.98, 3,681.12 and 2,177.52

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Solution

The fourth proportional to 2,675.98, 3,681.12 and 2,177.52 is: 2,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.98 : 3,681.12 = 2,177.52 : x
  2. Step 2: Convert to fraction form
    2,675.98/3,681.12 = 2,177.52/x
  3. Step 3: Cross multiply
    2,675.98x = 3,681.12 × 2,177.52
  4. Step 4: Simplify right side
    2,675.98x = 8,015,712.42
  5. Step 5: Solve for x
    x = 8,015,712.42/2,675.98
  6. Step 6: Final answer
    x = 2,995.43

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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.