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Finding the Fourth Proportional to 1,635.71, 2,255.78 and 1,217.11

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Solution

The fourth proportional to 1,635.71, 2,255.78 and 1,217.11 is: 1,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.71 : 2,255.78 = 1,217.11 : x
  2. Step 2: Convert to fraction form
    1,635.71/2,255.78 = 1,217.11/x
  3. Step 3: Cross multiply
    1,635.71x = 2,255.78 × 1,217.11
  4. Step 4: Simplify right side
    1,635.71x = 2,745,532.40
  5. Step 5: Solve for x
    x = 2,745,532.40/1,635.71
  6. Step 6: Final answer
    x = 1,678.50

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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.