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Finding the Fourth Proportional to 2,104, 3,156 and 1,499.84

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Solution

The fourth proportional to 2,104, 3,156 and 1,499.84 is: 2,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104 : 3,156 = 1,499.84 : x
  2. Step 2: Convert to fraction form
    2,104/3,156 = 1,499.84/x
  3. Step 3: Cross multiply
    2,104x = 3,156 × 1,499.84
  4. Step 4: Simplify right side
    2,104x = 4,733,495.04
  5. Step 5: Solve for x
    x = 4,733,495.04/2,104
  6. Step 6: Final answer
    x = 2,249.76

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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.