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Finding the Fourth Proportional to 2,036.71, 3,055.00 and 575.85

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Solution

The fourth proportional to 2,036.71, 3,055.00 and 575.85 is: 863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.71 : 3,055.00 = 575.85 : x
  2. Step 2: Convert to fraction form
    2,036.71/3,055.00 = 575.85/x
  3. Step 3: Cross multiply
    2,036.71x = 3,055.00 × 575.85
  4. Step 4: Simplify right side
    2,036.71x = 1,759,232.85
  5. Step 5: Solve for x
    x = 1,759,232.85/2,036.71
  6. Step 6: Final answer
    x = 863.76

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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.