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Finding the Fourth Proportional to 2,663.87, 4,000.34 and 2,525.36

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Solution

The fourth proportional to 2,663.87, 4,000.34 and 2,525.36 is: 3,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.87 : 4,000.34 = 2,525.36 : x
  2. Step 2: Convert to fraction form
    2,663.87/4,000.34 = 2,525.36/x
  3. Step 3: Cross multiply
    2,663.87x = 4,000.34 × 2,525.36
  4. Step 4: Simplify right side
    2,663.87x = 10,102,284.93
  5. Step 5: Solve for x
    x = 10,102,284.93/2,663.87
  6. Step 6: Final answer
    x = 3,792.34

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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.