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Finding the Fourth Proportional to 2,803.48, 4,205.86 and 1,983.36

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Solution

The fourth proportional to 2,803.48, 4,205.86 and 1,983.36 is: 2,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.48 : 4,205.86 = 1,983.36 : x
  2. Step 2: Convert to fraction form
    2,803.48/4,205.86 = 1,983.36/x
  3. Step 3: Cross multiply
    2,803.48x = 4,205.86 × 1,983.36
  4. Step 4: Simplify right side
    2,803.48x = 8,341,734.49
  5. Step 5: Solve for x
    x = 8,341,734.49/2,803.48
  6. Step 6: Final answer
    x = 2,975.49

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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.