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Finding the Fourth Proportional to 2,134.99, 3,188.25 and 2,025.64

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Solution

The fourth proportional to 2,134.99, 3,188.25 and 2,025.64 is: 3,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.99 : 3,188.25 = 2,025.64 : x
  2. Step 2: Convert to fraction form
    2,134.99/3,188.25 = 2,025.64/x
  3. Step 3: Cross multiply
    2,134.99x = 3,188.25 × 2,025.64
  4. Step 4: Simplify right side
    2,134.99x = 6,458,220.66
  5. Step 5: Solve for x
    x = 6,458,220.66/2,134.99
  6. Step 6: Final answer
    x = 3,024.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.