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Finding the Fourth Proportional to 3,342.28, 4,612.38 and 1,945

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Solution

The fourth proportional to 3,342.28, 4,612.38 and 1,945 is: 2,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.28 : 4,612.38 = 1,945 : x
  2. Step 2: Convert to fraction form
    3,342.28/4,612.38 = 1,945/x
  3. Step 3: Cross multiply
    3,342.28x = 4,612.38 × 1,945
  4. Step 4: Simplify right side
    3,342.28x = 8,971,079.10
  5. Step 5: Solve for x
    x = 8,971,079.10/3,342.28
  6. Step 6: Final answer
    x = 2,684.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.