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Finding the Fourth Proportional to 3,112, 4,293.54 and 1,767.46

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Solution

The fourth proportional to 3,112, 4,293.54 and 1,767.46 is: 2,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112 : 4,293.54 = 1,767.46 : x
  2. Step 2: Convert to fraction form
    3,112/4,293.54 = 1,767.46/x
  3. Step 3: Cross multiply
    3,112x = 4,293.54 × 1,767.46
  4. Step 4: Simplify right side
    3,112x = 7,588,660.21
  5. Step 5: Solve for x
    x = 7,588,660.21/3,112
  6. Step 6: Final answer
    x = 2,438.52

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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.