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Finding the Fourth Proportional to 2,086.65, 3,123.90 and 2,025.90

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Solution

The fourth proportional to 2,086.65, 3,123.90 and 2,025.90 is: 3,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.65 : 3,123.90 = 2,025.90 : x
  2. Step 2: Convert to fraction form
    2,086.65/3,123.90 = 2,025.90/x
  3. Step 3: Cross multiply
    2,086.65x = 3,123.90 × 2,025.90
  4. Step 4: Simplify right side
    2,086.65x = 6,328,709.01
  5. Step 5: Solve for x
    x = 6,328,709.01/2,086.65
  6. Step 6: Final answer
    x = 3,032.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.