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Finding the Fourth Proportional to 2,924.66, 4,384.50 and 1,279.98

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Solution

The fourth proportional to 2,924.66, 4,384.50 and 1,279.98 is: 1,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.66 : 4,384.50 = 1,279.98 : x
  2. Step 2: Convert to fraction form
    2,924.66/4,384.50 = 1,279.98/x
  3. Step 3: Cross multiply
    2,924.66x = 4,384.50 × 1,279.98
  4. Step 4: Simplify right side
    2,924.66x = 5,612,072.31
  5. Step 5: Solve for x
    x = 5,612,072.31/2,924.66
  6. Step 6: Final answer
    x = 1,918.88

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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.