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Finding the Fourth Proportional to 2,111.55, 3,166.36 and 878.22

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Solution

The fourth proportional to 2,111.55, 3,166.36 and 878.22 is: 1,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.55 : 3,166.36 = 878.22 : x
  2. Step 2: Convert to fraction form
    2,111.55/3,166.36 = 878.22/x
  3. Step 3: Cross multiply
    2,111.55x = 3,166.36 × 878.22
  4. Step 4: Simplify right side
    2,111.55x = 2,780,756.29
  5. Step 5: Solve for x
    x = 2,780,756.29/2,111.55
  6. Step 6: Final answer
    x = 1,316.93

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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.