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Finding the Fourth Proportional to 2,011.83, 3,015.87 and 780.04

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Solution

The fourth proportional to 2,011.83, 3,015.87 and 780.04 is: 1,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.83 : 3,015.87 = 780.04 : x
  2. Step 2: Convert to fraction form
    2,011.83/3,015.87 = 780.04/x
  3. Step 3: Cross multiply
    2,011.83x = 3,015.87 × 780.04
  4. Step 4: Simplify right side
    2,011.83x = 2,352,499.23
  5. Step 5: Solve for x
    x = 2,352,499.23/2,011.83
  6. Step 6: Final answer
    x = 1,169.33

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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.