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Finding the Fourth Proportional to 2,981.70, 4,471.11 and 1,749.51

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Solution

The fourth proportional to 2,981.70, 4,471.11 and 1,749.51 is: 2,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.70 : 4,471.11 = 1,749.51 : x
  2. Step 2: Convert to fraction form
    2,981.70/4,471.11 = 1,749.51/x
  3. Step 3: Cross multiply
    2,981.70x = 4,471.11 × 1,749.51
  4. Step 4: Simplify right side
    2,981.70x = 7,822,251.66
  5. Step 5: Solve for x
    x = 7,822,251.66/2,981.70
  6. Step 6: Final answer
    x = 2,623.42

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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.