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Finding the Fourth Proportional to 2,118.01, 3,177.82 and 885.32

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Solution

The fourth proportional to 2,118.01, 3,177.82 and 885.32 is: 1,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.01 : 3,177.82 = 885.32 : x
  2. Step 2: Convert to fraction form
    2,118.01/3,177.82 = 885.32/x
  3. Step 3: Cross multiply
    2,118.01x = 3,177.82 × 885.32
  4. Step 4: Simplify right side
    2,118.01x = 2,813,387.60
  5. Step 5: Solve for x
    x = 2,813,387.60/2,118.01
  6. Step 6: Final answer
    x = 1,328.32

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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.