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Finding the Fourth Proportional to 2,914.82, 4,371.29 and 966.50

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Solution

The fourth proportional to 2,914.82, 4,371.29 and 966.50 is: 1,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.82 : 4,371.29 = 966.50 : x
  2. Step 2: Convert to fraction form
    2,914.82/4,371.29 = 966.50/x
  3. Step 3: Cross multiply
    2,914.82x = 4,371.29 × 966.50
  4. Step 4: Simplify right side
    2,914.82x = 4,224,846.95
  5. Step 5: Solve for x
    x = 4,224,846.95/2,914.82
  6. Step 6: Final answer
    x = 1,449.44

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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.