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Finding the Fourth Proportional to 2,342.09, 3,232.09 and 1,294.16

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Solution

The fourth proportional to 2,342.09, 3,232.09 and 1,294.16 is: 1,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.09 : 3,232.09 = 1,294.16 : x
  2. Step 2: Convert to fraction form
    2,342.09/3,232.09 = 1,294.16/x
  3. Step 3: Cross multiply
    2,342.09x = 3,232.09 × 1,294.16
  4. Step 4: Simplify right side
    2,342.09x = 4,182,818.96
  5. Step 5: Solve for x
    x = 4,182,818.96/2,342.09
  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.