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Finding the Fourth Proportional to 2,981.04, 4,471.56 and 789.94

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Solution

The fourth proportional to 2,981.04, 4,471.56 and 789.94 is: 1,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.04 : 4,471.56 = 789.94 : x
  2. Step 2: Convert to fraction form
    2,981.04/4,471.56 = 789.94/x
  3. Step 3: Cross multiply
    2,981.04x = 4,471.56 × 789.94
  4. Step 4: Simplify right side
    2,981.04x = 3,532,264.11
  5. Step 5: Solve for x
    x = 3,532,264.11/2,981.04
  6. Step 6: Final answer
    x = 1,184.91

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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.