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Finding the Fourth Proportional to 2,342.66, 3,514.26 and 699.18

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Solution

The fourth proportional to 2,342.66, 3,514.26 and 699.18 is: 1,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.66 : 3,514.26 = 699.18 : x
  2. Step 2: Convert to fraction form
    2,342.66/3,514.26 = 699.18/x
  3. Step 3: Cross multiply
    2,342.66x = 3,514.26 × 699.18
  4. Step 4: Simplify right side
    2,342.66x = 2,457,100.31
  5. Step 5: Solve for x
    x = 2,457,100.31/2,342.66
  6. Step 6: Final answer
    x = 1,048.85

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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.