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Finding the Fourth Proportional to 1,949.35, 2,924.06 and 488.50

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Solution

The fourth proportional to 1,949.35, 2,924.06 and 488.50 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.35 : 2,924.06 = 488.50 : x
  2. Step 2: Convert to fraction form
    1,949.35/2,924.06 = 488.50/x
  3. Step 3: Cross multiply
    1,949.35x = 2,924.06 × 488.50
  4. Step 4: Simplify right side
    1,949.35x = 1,428,403.31
  5. Step 5: Solve for x
    x = 1,428,403.31/1,949.35
  6. Step 6: Final answer
    x = 732.76

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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.