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Finding the Fourth Proportional to 3,446.09, 5,168.35 and 980.85

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Solution

The fourth proportional to 3,446.09, 5,168.35 and 980.85 is: 1,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.09 : 5,168.35 = 980.85 : x
  2. Step 2: Convert to fraction form
    3,446.09/5,168.35 = 980.85/x
  3. Step 3: Cross multiply
    3,446.09x = 5,168.35 × 980.85
  4. Step 4: Simplify right side
    3,446.09x = 5,069,376.10
  5. Step 5: Solve for x
    x = 5,069,376.10/3,446.09
  6. Step 6: Final answer
    x = 1,471.05

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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.