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Finding the Fourth Proportional to 2,881.17, 4,322.06 and 801.18

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Solution

The fourth proportional to 2,881.17, 4,322.06 and 801.18 is: 1,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.17 : 4,322.06 = 801.18 : x
  2. Step 2: Convert to fraction form
    2,881.17/4,322.06 = 801.18/x
  3. Step 3: Cross multiply
    2,881.17x = 4,322.06 × 801.18
  4. Step 4: Simplify right side
    2,881.17x = 3,462,729.32
  5. Step 5: Solve for x
    x = 3,462,729.32/2,881.17
  6. Step 6: Final answer
    x = 1,201.85

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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.