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Finding the Fourth Proportional to 2,341.97, 3,232.15 and 1,294.03

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Solution

The fourth proportional to 2,341.97, 3,232.15 and 1,294.03 is: 1,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.97 : 3,232.15 = 1,294.03 : x
  2. Step 2: Convert to fraction form
    2,341.97/3,232.15 = 1,294.03/x
  3. Step 3: Cross multiply
    2,341.97x = 3,232.15 × 1,294.03
  4. Step 4: Simplify right side
    2,341.97x = 4,182,507.15
  5. Step 5: Solve for x
    x = 4,182,507.15/2,341.97
  6. Step 6: Final answer
    x = 1,785.89

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