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Finding the Fourth Proportional to 2,118.17, 3,176.86 and 885.25

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Solution

The fourth proportional to 2,118.17, 3,176.86 and 885.25 is: 1,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.17 : 3,176.86 = 885.25 : x
  2. Step 2: Convert to fraction form
    2,118.17/3,176.86 = 885.25/x
  3. Step 3: Cross multiply
    2,118.17x = 3,176.86 × 885.25
  4. Step 4: Simplify right side
    2,118.17x = 2,812,305.16
  5. Step 5: Solve for x
    x = 2,812,305.16/2,118.17
  6. Step 6: Final answer
    x = 1,327.71

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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.