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Finding the Fourth Proportional to 2,263.14, 3,406.86 and 2,025

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Solution

The fourth proportional to 2,263.14, 3,406.86 and 2,025 is: 3,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.14 : 3,406.86 = 2,025 : x
  2. Step 2: Convert to fraction form
    2,263.14/3,406.86 = 2,025/x
  3. Step 3: Cross multiply
    2,263.14x = 3,406.86 × 2,025
  4. Step 4: Simplify right side
    2,263.14x = 6,898,891.50
  5. Step 5: Solve for x
    x = 6,898,891.50/2,263.14
  6. Step 6: Final answer
    x = 3,048.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.