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Finding the Fourth Proportional to 3,169.99, 4,757.06 and 1,415.46

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Solution

The fourth proportional to 3,169.99, 4,757.06 and 1,415.46 is: 2,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.99 : 4,757.06 = 1,415.46 : x
  2. Step 2: Convert to fraction form
    3,169.99/4,757.06 = 1,415.46/x
  3. Step 3: Cross multiply
    3,169.99x = 4,757.06 × 1,415.46
  4. Step 4: Simplify right side
    3,169.99x = 6,733,428.15
  5. Step 5: Solve for x
    x = 6,733,428.15/3,169.99
  6. Step 6: Final answer
    x = 2,124.12

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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.