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Finding the Fourth Proportional to 2,746, 4,119.52 and 1,102.68

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Solution

The fourth proportional to 2,746, 4,119.52 and 1,102.68 is: 1,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 4,119.52 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    2,746/4,119.52 = 1,102.68/x
  3. Step 3: Cross multiply
    2,746x = 4,119.52 × 1,102.68
  4. Step 4: Simplify right side
    2,746x = 4,542,488.96
  5. Step 5: Solve for x
    x = 4,542,488.96/2,746
  6. Step 6: Final answer
    x = 1,654.22

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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.