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Finding the Fourth Proportional to 2,349.17, 3,241.84 and 1,301.23

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Solution

The fourth proportional to 2,349.17, 3,241.84 and 1,301.23 is: 1,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.17 : 3,241.84 = 1,301.23 : x
  2. Step 2: Convert to fraction form
    2,349.17/3,241.84 = 1,301.23/x
  3. Step 3: Cross multiply
    2,349.17x = 3,241.84 × 1,301.23
  4. Step 4: Simplify right side
    2,349.17x = 4,218,356.75
  5. Step 5: Solve for x
    x = 4,218,356.75/2,349.17
  6. Step 6: Final answer
    x = 1,795.68

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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.