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Finding the Fourth Proportional to 2,342.24, 3,232.08 and 1,294.24

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Solution

The fourth proportional to 2,342.24, 3,232.08 and 1,294.24 is: 1,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.24 : 3,232.08 = 1,294.24 : x
  2. Step 2: Convert to fraction form
    2,342.24/3,232.08 = 1,294.24/x
  3. Step 3: Cross multiply
    2,342.24x = 3,232.08 × 1,294.24
  4. Step 4: Simplify right side
    2,342.24x = 4,183,087.22
  5. Step 5: Solve for x
    x = 4,183,087.22/2,342.24
  6. Step 6: Final answer
    x = 1,785.93

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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.