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Finding the Fourth Proportional to 3,446.15, 5,168.48 and 980.30

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Solution

The fourth proportional to 3,446.15, 5,168.48 and 980.30 is: 1,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.15 : 5,168.48 = 980.30 : x
  2. Step 2: Convert to fraction form
    3,446.15/5,168.48 = 980.30/x
  3. Step 3: Cross multiply
    3,446.15x = 5,168.48 × 980.30
  4. Step 4: Simplify right side
    3,446.15x = 5,066,677.23
  5. Step 5: Solve for x
    x = 5,066,677.23/3,446.15
  6. Step 6: Final answer
    x = 1,470.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.