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Finding the Fourth Proportional to 2,122.65, 3,186.81 and 2,097.95

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Solution

The fourth proportional to 2,122.65, 3,186.81 and 2,097.95 is: 3,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.65 : 3,186.81 = 2,097.95 : x
  2. Step 2: Convert to fraction form
    2,122.65/3,186.81 = 2,097.95/x
  3. Step 3: Cross multiply
    2,122.65x = 3,186.81 × 2,097.95
  4. Step 4: Simplify right side
    2,122.65x = 6,685,752.11
  5. Step 5: Solve for x
    x = 6,685,752.11/2,122.65
  6. Step 6: Final answer
    x = 3,149.72

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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.