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Finding the Fourth Proportional to 3,155.75, 4,730.52 and 1,769.75

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Solution

The fourth proportional to 3,155.75, 4,730.52 and 1,769.75 is: 2,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.75 : 4,730.52 = 1,769.75 : x
  2. Step 2: Convert to fraction form
    3,155.75/4,730.52 = 1,769.75/x
  3. Step 3: Cross multiply
    3,155.75x = 4,730.52 × 1,769.75
  4. Step 4: Simplify right side
    3,155.75x = 8,371,837.77
  5. Step 5: Solve for x
    x = 8,371,837.77/3,155.75
  6. Step 6: Final answer
    x = 2,652.88

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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.