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Finding the Fourth Proportional to 2,681.28, 3,700.20 and 1,633.44

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Solution

The fourth proportional to 2,681.28, 3,700.20 and 1,633.44 is: 2,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.28 : 3,700.20 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    2,681.28/3,700.20 = 1,633.44/x
  3. Step 3: Cross multiply
    2,681.28x = 3,700.20 × 1,633.44
  4. Step 4: Simplify right side
    2,681.28x = 6,044,054.69
  5. Step 5: Solve for x
    x = 6,044,054.69/2,681.28
  6. Step 6: Final answer
    x = 2,254.17

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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.