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Finding the Fourth Proportional to 2,111.05, 2,913.23 and 1,166.90

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Solution

The fourth proportional to 2,111.05, 2,913.23 and 1,166.90 is: 1,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.05 : 2,913.23 = 1,166.90 : x
  2. Step 2: Convert to fraction form
    2,111.05/2,913.23 = 1,166.90/x
  3. Step 3: Cross multiply
    2,111.05x = 2,913.23 × 1,166.90
  4. Step 4: Simplify right side
    2,111.05x = 3,399,448.09
  5. Step 5: Solve for x
    x = 3,399,448.09/2,111.05
  6. Step 6: Final answer
    x = 1,610.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.