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Finding the Fourth Proportional to 2,777.49, 4,164.17 and 1,681.61

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Solution

The fourth proportional to 2,777.49, 4,164.17 and 1,681.61 is: 2,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.49 : 4,164.17 = 1,681.61 : x
  2. Step 2: Convert to fraction form
    2,777.49/4,164.17 = 1,681.61/x
  3. Step 3: Cross multiply
    2,777.49x = 4,164.17 × 1,681.61
  4. Step 4: Simplify right side
    2,777.49x = 7,002,493.30
  5. Step 5: Solve for x
    x = 7,002,493.30/2,777.49
  6. Step 6: Final answer
    x = 2,521.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.