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Finding the Fourth Proportional to 2,036.56, 3,055.84 and 2,003.80

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Solution

The fourth proportional to 2,036.56, 3,055.84 and 2,003.80 is: 3,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.56 : 3,055.84 = 2,003.80 : x
  2. Step 2: Convert to fraction form
    2,036.56/3,055.84 = 2,003.80/x
  3. Step 3: Cross multiply
    2,036.56x = 3,055.84 × 2,003.80
  4. Step 4: Simplify right side
    2,036.56x = 6,123,292.19
  5. Step 5: Solve for x
    x = 6,123,292.19/2,036.56
  6. Step 6: Final answer
    x = 3,006.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.