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Finding the Fourth Proportional to 4,198.50, 6,298.02 and 1,732.47

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Solution

The fourth proportional to 4,198.50, 6,298.02 and 1,732.47 is: 2,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 6,298.02 = 1,732.47 : x
  2. Step 2: Convert to fraction form
    4,198.50/6,298.02 = 1,732.47/x
  3. Step 3: Cross multiply
    4,198.50x = 6,298.02 × 1,732.47
  4. Step 4: Simplify right side
    4,198.50x = 10,911,130.71
  5. Step 5: Solve for x
    x = 10,911,130.71/4,198.50
  6. Step 6: Final answer
    x = 2,598.82

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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.