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Finding the Fourth Proportional to 3,166.70, 4,750.17 and 945.50

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Solution

The fourth proportional to 3,166.70, 4,750.17 and 945.50 is: 1,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.70 : 4,750.17 = 945.50 : x
  2. Step 2: Convert to fraction form
    3,166.70/4,750.17 = 945.50/x
  3. Step 3: Cross multiply
    3,166.70x = 4,750.17 × 945.50
  4. Step 4: Simplify right side
    3,166.70x = 4,491,285.74
  5. Step 5: Solve for x
    x = 4,491,285.74/3,166.70
  6. Step 6: Final answer
    x = 1,418.29

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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.