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Finding the Fourth Proportional to 2,881.95, 4,322.48 and 801.73

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Solution

The fourth proportional to 2,881.95, 4,322.48 and 801.73 is: 1,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.95 : 4,322.48 = 801.73 : x
  2. Step 2: Convert to fraction form
    2,881.95/4,322.48 = 801.73/x
  3. Step 3: Cross multiply
    2,881.95x = 4,322.48 × 801.73
  4. Step 4: Simplify right side
    2,881.95x = 3,465,463.28
  5. Step 5: Solve for x
    x = 3,465,463.28/2,881.95
  6. Step 6: Final answer
    x = 1,202.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.