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Finding the Fourth Proportional to 2,011.86, 3,019.01 and 780.39

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Solution

The fourth proportional to 2,011.86, 3,019.01 and 780.39 is: 1,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.86 : 3,019.01 = 780.39 : x
  2. Step 2: Convert to fraction form
    2,011.86/3,019.01 = 780.39/x
  3. Step 3: Cross multiply
    2,011.86x = 3,019.01 × 780.39
  4. Step 4: Simplify right side
    2,011.86x = 2,356,001.31
  5. Step 5: Solve for x
    x = 2,356,001.31/2,011.86
  6. Step 6: Final answer
    x = 1,171.06

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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.