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Finding the Fourth Proportional to 2,110.51, 3,163.93 and 811.07

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Solution

The fourth proportional to 2,110.51, 3,163.93 and 811.07 is: 1,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.51 : 3,163.93 = 811.07 : x
  2. Step 2: Convert to fraction form
    2,110.51/3,163.93 = 811.07/x
  3. Step 3: Cross multiply
    2,110.51x = 3,163.93 × 811.07
  4. Step 4: Simplify right side
    2,110.51x = 2,566,168.71
  5. Step 5: Solve for x
    x = 2,566,168.71/2,110.51
  6. Step 6: Final answer
    x = 1,215.90

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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.