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Finding the Fourth Proportional to 2,295.95, 3,166.29 and 2,206.04

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Solution

The fourth proportional to 2,295.95, 3,166.29 and 2,206.04 is: 3,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.95 : 3,166.29 = 2,206.04 : x
  2. Step 2: Convert to fraction form
    2,295.95/3,166.29 = 2,206.04/x
  3. Step 3: Cross multiply
    2,295.95x = 3,166.29 × 2,206.04
  4. Step 4: Simplify right side
    2,295.95x = 6,984,946.56
  5. Step 5: Solve for x
    x = 6,984,946.56/2,295.95
  6. Step 6: Final answer
    x = 3,042.30

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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.