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Finding the Fourth Proportional to 3,275, 4,519.50 and 1,803

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Solution

The fourth proportional to 3,275, 4,519.50 and 1,803 is: 2,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275 : 4,519.50 = 1,803 : x
  2. Step 2: Convert to fraction form
    3,275/4,519.50 = 1,803/x
  3. Step 3: Cross multiply
    3,275x = 4,519.50 × 1,803
  4. Step 4: Simplify right side
    3,275x = 8,148,658.50
  5. Step 5: Solve for x
    x = 8,148,658.50/3,275
  6. Step 6: Final answer
    x = 2,488.14

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Why These Related Problems?

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