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Finding the Fourth Proportional to 2,036.08, 3,054.12 and 575.20

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Solution

The fourth proportional to 2,036.08, 3,054.12 and 575.20 is: 862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.08 : 3,054.12 = 575.20 : x
  2. Step 2: Convert to fraction form
    2,036.08/3,054.12 = 575.20/x
  3. Step 3: Cross multiply
    2,036.08x = 3,054.12 × 575.20
  4. Step 4: Simplify right side
    2,036.08x = 1,756,729.82
  5. Step 5: Solve for x
    x = 1,756,729.82/2,036.08
  6. Step 6: Final answer
    x = 862.80

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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.