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Finding the Fourth Proportional to 2,803.44, 4,205.15 and 723.47

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Solution

The fourth proportional to 2,803.44, 4,205.15 and 723.47 is: 1,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.44 : 4,205.15 = 723.47 : x
  2. Step 2: Convert to fraction form
    2,803.44/4,205.15 = 723.47/x
  3. Step 3: Cross multiply
    2,803.44x = 4,205.15 × 723.47
  4. Step 4: Simplify right side
    2,803.44x = 3,042,277.94
  5. Step 5: Solve for x
    x = 3,042,277.94/2,803.44
  6. Step 6: Final answer
    x = 1,085.19

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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.