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Finding the Fourth Proportional to 2,769.87, 4,154.86 and 795.53

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Solution

The fourth proportional to 2,769.87, 4,154.86 and 795.53 is: 1,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.87 : 4,154.86 = 795.53 : x
  2. Step 2: Convert to fraction form
    2,769.87/4,154.86 = 795.53/x
  3. Step 3: Cross multiply
    2,769.87x = 4,154.86 × 795.53
  4. Step 4: Simplify right side
    2,769.87x = 3,305,315.78
  5. Step 5: Solve for x
    x = 3,305,315.78/2,769.87
  6. Step 6: Final answer
    x = 1,193.31

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1.5x scale

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.