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Finding the Fourth Proportional to 2,303.96, 3,456.48 and 843.14

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Solution

The fourth proportional to 2,303.96, 3,456.48 and 843.14 is: 1,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.96 : 3,456.48 = 843.14 : x
  2. Step 2: Convert to fraction form
    2,303.96/3,456.48 = 843.14/x
  3. Step 3: Cross multiply
    2,303.96x = 3,456.48 × 843.14
  4. Step 4: Simplify right side
    2,303.96x = 2,914,296.55
  5. Step 5: Solve for x
    x = 2,914,296.55/2,303.96
  6. Step 6: Final answer
    x = 1,264.91

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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.