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Finding the Fourth Proportional to 2,349.50, 3,242.31 and 1,301.57

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Solution

The fourth proportional to 2,349.50, 3,242.31 and 1,301.57 is: 1,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.50 : 3,242.31 = 1,301.57 : x
  2. Step 2: Convert to fraction form
    2,349.50/3,242.31 = 1,301.57/x
  3. Step 3: Cross multiply
    2,349.50x = 3,242.31 × 1,301.57
  4. Step 4: Simplify right side
    2,349.50x = 4,220,077.22
  5. Step 5: Solve for x
    x = 4,220,077.22/2,349.50
  6. Step 6: Final answer
    x = 1,796.16

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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.