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Finding the Fourth Proportional to 2,036.97, 3,056.27 and 650.52

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Solution

The fourth proportional to 2,036.97, 3,056.27 and 650.52 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.97 : 3,056.27 = 650.52 : x
  2. Step 2: Convert to fraction form
    2,036.97/3,056.27 = 650.52/x
  3. Step 3: Cross multiply
    2,036.97x = 3,056.27 × 650.52
  4. Step 4: Simplify right side
    2,036.97x = 1,988,161.51
  5. Step 5: Solve for x
    x = 1,988,161.51/2,036.97
  6. Step 6: Final answer
    x = 976.04

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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.