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Finding the Fourth Proportional to 3,166.92, 4,752.22 and 1,435.72

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Solution

The fourth proportional to 3,166.92, 4,752.22 and 1,435.72 is: 2,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.92 : 4,752.22 = 1,435.72 : x
  2. Step 2: Convert to fraction form
    3,166.92/4,752.22 = 1,435.72/x
  3. Step 3: Cross multiply
    3,166.92x = 4,752.22 × 1,435.72
  4. Step 4: Simplify right side
    3,166.92x = 6,822,857.30
  5. Step 5: Solve for x
    x = 6,822,857.30/3,166.92
  6. Step 6: Final answer
    x = 2,154.41

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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.