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Finding the Fourth Proportional to 3,012, 4,513.92 and 1,366.48

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Solution

The fourth proportional to 3,012, 4,513.92 and 1,366.48 is: 2,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,513.92 = 1,366.48 : x
  2. Step 2: Convert to fraction form
    3,012/4,513.92 = 1,366.48/x
  3. Step 3: Cross multiply
    3,012x = 4,513.92 × 1,366.48
  4. Step 4: Simplify right side
    3,012x = 6,168,181.40
  5. Step 5: Solve for x
    x = 6,168,181.40/3,012
  6. Step 6: Final answer
    x = 2,047.87

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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.