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Finding the Fourth Proportional to 2,950.49, 4,419.83 and 1,906.88

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Solution

The fourth proportional to 2,950.49, 4,419.83 and 1,906.88 is: 2,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.49 : 4,419.83 = 1,906.88 : x
  2. Step 2: Convert to fraction form
    2,950.49/4,419.83 = 1,906.88/x
  3. Step 3: Cross multiply
    2,950.49x = 4,419.83 × 1,906.88
  4. Step 4: Simplify right side
    2,950.49x = 8,428,068.10
  5. Step 5: Solve for x
    x = 8,428,068.10/2,950.49
  6. Step 6: Final answer
    x = 2,856.50

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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.