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Finding the Fourth Proportional to 2,261.49, 3,392.61 and 801.06

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Solution

The fourth proportional to 2,261.49, 3,392.61 and 801.06 is: 1,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.49 : 3,392.61 = 801.06 : x
  2. Step 2: Convert to fraction form
    2,261.49/3,392.61 = 801.06/x
  3. Step 3: Cross multiply
    2,261.49x = 3,392.61 × 801.06
  4. Step 4: Simplify right side
    2,261.49x = 2,717,684.17
  5. Step 5: Solve for x
    x = 2,717,684.17/2,261.49
  6. Step 6: Final answer
    x = 1,201.72

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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.