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Finding the Fourth Proportional to 2,342.01, 3,231.84 and 1,294

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Solution

The fourth proportional to 2,342.01, 3,231.84 and 1,294 is: 1,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.01 : 3,231.84 = 1,294 : x
  2. Step 2: Convert to fraction form
    2,342.01/3,231.84 = 1,294/x
  3. Step 3: Cross multiply
    2,342.01x = 3,231.84 × 1,294
  4. Step 4: Simplify right side
    2,342.01x = 4,182,000.96
  5. Step 5: Solve for x
    x = 4,182,000.96/2,342.01
  6. Step 6: Final answer
    x = 1,785.65

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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.