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Finding the Fourth Proportional to 2,179.57, 3,269.35 and 881.95

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Solution

The fourth proportional to 2,179.57, 3,269.35 and 881.95 is: 1,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.57 : 3,269.35 = 881.95 : x
  2. Step 2: Convert to fraction form
    2,179.57/3,269.35 = 881.95/x
  3. Step 3: Cross multiply
    2,179.57x = 3,269.35 × 881.95
  4. Step 4: Simplify right side
    2,179.57x = 2,883,386.89
  5. Step 5: Solve for x
    x = 2,883,386.89/2,179.57
  6. Step 6: Final answer
    x = 1,322.92

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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.