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Finding the Fourth Proportional to 2,769.65, 4,154.44 and 920.90

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Solution

The fourth proportional to 2,769.65, 4,154.44 and 920.90 is: 1,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.65 : 4,154.44 = 920.90 : x
  2. Step 2: Convert to fraction form
    2,769.65/4,154.44 = 920.90/x
  3. Step 3: Cross multiply
    2,769.65x = 4,154.44 × 920.90
  4. Step 4: Simplify right side
    2,769.65x = 3,825,826.10
  5. Step 5: Solve for x
    x = 3,825,826.10/2,769.65
  6. Step 6: Final answer
    x = 1,381.34

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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.