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Finding the Fourth Proportional to 2,111.10, 3,166.86 and 551.34

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Solution

The fourth proportional to 2,111.10, 3,166.86 and 551.34 is: 827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.10 : 3,166.86 = 551.34 : x
  2. Step 2: Convert to fraction form
    2,111.10/3,166.86 = 551.34/x
  3. Step 3: Cross multiply
    2,111.10x = 3,166.86 × 551.34
  4. Step 4: Simplify right side
    2,111.10x = 1,746,016.59
  5. Step 5: Solve for x
    x = 1,746,016.59/2,111.10
  6. Step 6: Final answer
    x = 827.06

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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.