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Finding the Fourth Proportional to 2,154.69, 3,232.27 and 768.17

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Solution

The fourth proportional to 2,154.69, 3,232.27 and 768.17 is: 1,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.69 : 3,232.27 = 768.17 : x
  2. Step 2: Convert to fraction form
    2,154.69/3,232.27 = 768.17/x
  3. Step 3: Cross multiply
    2,154.69x = 3,232.27 × 768.17
  4. Step 4: Simplify right side
    2,154.69x = 2,482,939.01
  5. Step 5: Solve for x
    x = 2,482,939.01/2,154.69
  6. Step 6: Final answer
    x = 1,152.34

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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.