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Finding the Fourth Proportional to 2,036.57, 3,052.63 and 994.24

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Solution

The fourth proportional to 2,036.57, 3,052.63 and 994.24 is: 1,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.57 : 3,052.63 = 994.24 : x
  2. Step 2: Convert to fraction form
    2,036.57/3,052.63 = 994.24/x
  3. Step 3: Cross multiply
    2,036.57x = 3,052.63 × 994.24
  4. Step 4: Simplify right side
    2,036.57x = 3,035,026.62
  5. Step 5: Solve for x
    x = 3,035,026.62/2,036.57
  6. Step 6: Final answer
    x = 1,490.26

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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.