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Finding the Fourth Proportional to 1,949.09, 2,924.63 and 853.46

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Solution

The fourth proportional to 1,949.09, 2,924.63 and 853.46 is: 1,280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.09 : 2,924.63 = 853.46 : x
  2. Step 2: Convert to fraction form
    1,949.09/2,924.63 = 853.46/x
  3. Step 3: Cross multiply
    1,949.09x = 2,924.63 × 853.46
  4. Step 4: Simplify right side
    1,949.09x = 2,496,050.45
  5. Step 5: Solve for x
    x = 2,496,050.45/1,949.09
  6. Step 6: Final answer
    x = 1,280.62

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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.