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Finding the Fourth Proportional to 2,184.44, 3,275.42 and 1,141.88

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Solution

The fourth proportional to 2,184.44, 3,275.42 and 1,141.88 is: 1,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.44 : 3,275.42 = 1,141.88 : x
  2. Step 2: Convert to fraction form
    2,184.44/3,275.42 = 1,141.88/x
  3. Step 3: Cross multiply
    2,184.44x = 3,275.42 × 1,141.88
  4. Step 4: Simplify right side
    2,184.44x = 3,740,136.59
  5. Step 5: Solve for x
    x = 3,740,136.59/2,184.44
  6. Step 6: Final answer
    x = 1,712.17

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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.