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Finding the Fourth Proportional to 2,342.70, 3,514.35 and 862.02

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Solution

The fourth proportional to 2,342.70, 3,514.35 and 862.02 is: 1,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.70 : 3,514.35 = 862.02 : x
  2. Step 2: Convert to fraction form
    2,342.70/3,514.35 = 862.02/x
  3. Step 3: Cross multiply
    2,342.70x = 3,514.35 × 862.02
  4. Step 4: Simplify right side
    2,342.70x = 3,029,439.99
  5. Step 5: Solve for x
    x = 3,029,439.99/2,342.70
  6. Step 6: Final answer
    x = 1,293.14

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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.