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Finding the Fourth Proportional to 3,397.80, 4,689 and 1,981.56

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Solution

The fourth proportional to 3,397.80, 4,689 and 1,981.56 is: 2,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.80 : 4,689 = 1,981.56 : x
  2. Step 2: Convert to fraction form
    3,397.80/4,689 = 1,981.56/x
  3. Step 3: Cross multiply
    3,397.80x = 4,689 × 1,981.56
  4. Step 4: Simplify right side
    3,397.80x = 9,291,534.84
  5. Step 5: Solve for x
    x = 9,291,534.84/3,397.80
  6. Step 6: Final answer
    x = 2,734.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.