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Finding the Fourth Proportional to 1,867.92, 2,801.41 and 635.29

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Solution

The fourth proportional to 1,867.92, 2,801.41 and 635.29 is: 952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.92 : 2,801.41 = 635.29 : x
  2. Step 2: Convert to fraction form
    1,867.92/2,801.41 = 635.29/x
  3. Step 3: Cross multiply
    1,867.92x = 2,801.41 × 635.29
  4. Step 4: Simplify right side
    1,867.92x = 1,779,707.76
  5. Step 5: Solve for x
    x = 1,779,707.76/1,867.92
  6. Step 6: Final answer
    x = 952.78

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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.