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Finding the Fourth Proportional to 2,769.67, 4,154.52 and 689.67

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Solution

The fourth proportional to 2,769.67, 4,154.52 and 689.67 is: 1,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.67 : 4,154.52 = 689.67 : x
  2. Step 2: Convert to fraction form
    2,769.67/4,154.52 = 689.67/x
  3. Step 3: Cross multiply
    2,769.67x = 4,154.52 × 689.67
  4. Step 4: Simplify right side
    2,769.67x = 2,865,263.39
  5. Step 5: Solve for x
    x = 2,865,263.39/2,769.67
  6. Step 6: Final answer
    x = 1,034.51

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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.