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Finding the Fourth Proportional to 2,036.34, 3,054.21 and 575.30

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Solution

The fourth proportional to 2,036.34, 3,054.21 and 575.30 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.34 : 3,054.21 = 575.30 : x
  2. Step 2: Convert to fraction form
    2,036.34/3,054.21 = 575.30/x
  3. Step 3: Cross multiply
    2,036.34x = 3,054.21 × 575.30
  4. Step 4: Simplify right side
    2,036.34x = 1,757,092.49
  5. Step 5: Solve for x
    x = 1,757,092.49/2,036.34
  6. Step 6: Final answer
    x = 862.87

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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.