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Finding the Fourth Proportional to 2,110.08, 3,166.08 and 2,086.08

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Solution

The fourth proportional to 2,110.08, 3,166.08 and 2,086.08 is: 3,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.08 : 3,166.08 = 2,086.08 : x
  2. Step 2: Convert to fraction form
    2,110.08/3,166.08 = 2,086.08/x
  3. Step 3: Cross multiply
    2,110.08x = 3,166.08 × 2,086.08
  4. Step 4: Simplify right side
    2,110.08x = 6,604,696.17
  5. Step 5: Solve for x
    x = 6,604,696.17/2,110.08
  6. Step 6: Final answer
    x = 3,130.07

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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.