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Finding the Fourth Proportional to 2,301.97, 3,453.48 and 841.13

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Solution

The fourth proportional to 2,301.97, 3,453.48 and 841.13 is: 1,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.97 : 3,453.48 = 841.13 : x
  2. Step 2: Convert to fraction form
    2,301.97/3,453.48 = 841.13/x
  3. Step 3: Cross multiply
    2,301.97x = 3,453.48 × 841.13
  4. Step 4: Simplify right side
    2,301.97x = 2,904,825.63
  5. Step 5: Solve for x
    x = 2,904,825.63/2,301.97
  6. Step 6: Final answer
    x = 1,261.89

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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.