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Finding the Fourth Proportional to 2,803.80, 3,869.16 and 1,756.44

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Solution

The fourth proportional to 2,803.80, 3,869.16 and 1,756.44 is: 2,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.80 : 3,869.16 = 1,756.44 : x
  2. Step 2: Convert to fraction form
    2,803.80/3,869.16 = 1,756.44/x
  3. Step 3: Cross multiply
    2,803.80x = 3,869.16 × 1,756.44
  4. Step 4: Simplify right side
    2,803.80x = 6,795,947.39
  5. Step 5: Solve for x
    x = 6,795,947.39/2,803.80
  6. Step 6: Final answer
    x = 2,423.83

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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.