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Finding the Fourth Proportional to 1,881.97, 2,597.79 and 1,096.01

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Solution

The fourth proportional to 1,881.97, 2,597.79 and 1,096.01 is: 1,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.97 : 2,597.79 = 1,096.01 : x
  2. Step 2: Convert to fraction form
    1,881.97/2,597.79 = 1,096.01/x
  3. Step 3: Cross multiply
    1,881.97x = 2,597.79 × 1,096.01
  4. Step 4: Simplify right side
    1,881.97x = 2,847,203.82
  5. Step 5: Solve for x
    x = 2,847,203.82/1,881.97
  6. Step 6: Final answer
    x = 1,512.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.