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Finding the Fourth Proportional to 2,342.90, 3,514.37 and 699.41

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Solution

The fourth proportional to 2,342.90, 3,514.37 and 699.41 is: 1,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.90 : 3,514.37 = 699.41 : x
  2. Step 2: Convert to fraction form
    2,342.90/3,514.37 = 699.41/x
  3. Step 3: Cross multiply
    2,342.90x = 3,514.37 × 699.41
  4. Step 4: Simplify right side
    2,342.90x = 2,457,990.81
  5. Step 5: Solve for x
    x = 2,457,990.81/2,342.90
  6. Step 6: Final answer
    x = 1,049.12

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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.