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Finding the Fourth Proportional to 4,342, 6,514.08 and 1,264

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Solution

The fourth proportional to 4,342, 6,514.08 and 1,264 is: 1,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342 : 6,514.08 = 1,264 : x
  2. Step 2: Convert to fraction form
    4,342/6,514.08 = 1,264/x
  3. Step 3: Cross multiply
    4,342x = 6,514.08 × 1,264
  4. Step 4: Simplify right side
    4,342x = 8,233,797.12
  5. Step 5: Solve for x
    x = 8,233,797.12/4,342
  6. Step 6: Final answer
    x = 1,896.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.