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Finding the Fourth Proportional to 2,844.29, 4,264.50 and 994.39

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Solution

The fourth proportional to 2,844.29, 4,264.50 and 994.39 is: 1,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.29 : 4,264.50 = 994.39 : x
  2. Step 2: Convert to fraction form
    2,844.29/4,264.50 = 994.39/x
  3. Step 3: Cross multiply
    2,844.29x = 4,264.50 × 994.39
  4. Step 4: Simplify right side
    2,844.29x = 4,240,554.83
  5. Step 5: Solve for x
    x = 4,240,554.83/2,844.29
  6. Step 6: Final answer
    x = 1,490.90

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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.