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Finding the Fourth Proportional to 3,098.41, 4,649.77 and 1,366.09

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Solution

The fourth proportional to 3,098.41, 4,649.77 and 1,366.09 is: 2,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.41 : 4,649.77 = 1,366.09 : x
  2. Step 2: Convert to fraction form
    3,098.41/4,649.77 = 1,366.09/x
  3. Step 3: Cross multiply
    3,098.41x = 4,649.77 × 1,366.09
  4. Step 4: Simplify right side
    3,098.41x = 6,351,981.05
  5. Step 5: Solve for x
    x = 6,351,981.05/3,098.41
  6. Step 6: Final answer
    x = 2,050.08

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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.