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Finding the Fourth Proportional to 2,036.97, 3,055.05 and 576.09

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Solution

The fourth proportional to 2,036.97, 3,055.05 and 576.09 is: 864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.97 : 3,055.05 = 576.09 : x
  2. Step 2: Convert to fraction form
    2,036.97/3,055.05 = 576.09/x
  3. Step 3: Cross multiply
    2,036.97x = 3,055.05 × 576.09
  4. Step 4: Simplify right side
    2,036.97x = 1,759,983.75
  5. Step 5: Solve for x
    x = 1,759,983.75/2,036.97
  6. Step 6: Final answer
    x = 864.02

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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.