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Finding the Fourth Proportional to 2,036.62, 3,054.96 and 575.80

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Solution

The fourth proportional to 2,036.62, 3,054.96 and 575.80 is: 863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.62 : 3,054.96 = 575.80 : x
  2. Step 2: Convert to fraction form
    2,036.62/3,054.96 = 575.80/x
  3. Step 3: Cross multiply
    2,036.62x = 3,054.96 × 575.80
  4. Step 4: Simplify right side
    2,036.62x = 1,759,045.97
  5. Step 5: Solve for x
    x = 1,759,045.97/2,036.62
  6. Step 6: Final answer
    x = 863.71

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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.