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Finding the Fourth Proportional to 2,011.86, 3,019.07 and 1,088.05

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Solution

The fourth proportional to 2,011.86, 3,019.07 and 1,088.05 is: 1,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.86 : 3,019.07 = 1,088.05 : x
  2. Step 2: Convert to fraction form
    2,011.86/3,019.07 = 1,088.05/x
  3. Step 3: Cross multiply
    2,011.86x = 3,019.07 × 1,088.05
  4. Step 4: Simplify right side
    2,011.86x = 3,284,899.11
  5. Step 5: Solve for x
    x = 3,284,899.11/2,011.86
  6. Step 6: Final answer
    x = 1,632.77

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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.