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Finding the Fourth Proportional to 2,803.20, 4,204.03 and 1,159.35

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Solution

The fourth proportional to 2,803.20, 4,204.03 and 1,159.35 is: 1,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.20 : 4,204.03 = 1,159.35 : x
  2. Step 2: Convert to fraction form
    2,803.20/4,204.03 = 1,159.35/x
  3. Step 3: Cross multiply
    2,803.20x = 4,204.03 × 1,159.35
  4. Step 4: Simplify right side
    2,803.20x = 4,873,942.18
  5. Step 5: Solve for x
    x = 4,873,942.18/2,803.20
  6. Step 6: Final answer
    x = 1,738.71

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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.