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Finding the Fourth Proportional to 2,525.71, 3,786 and 1,601.95

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Solution

The fourth proportional to 2,525.71, 3,786 and 1,601.95 is: 2,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.71 : 3,786 = 1,601.95 : x
  2. Step 2: Convert to fraction form
    2,525.71/3,786 = 1,601.95/x
  3. Step 3: Cross multiply
    2,525.71x = 3,786 × 1,601.95
  4. Step 4: Simplify right side
    2,525.71x = 6,064,982.70
  5. Step 5: Solve for x
    x = 6,064,982.70/2,525.71
  6. Step 6: Final answer
    x = 2,401.30

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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.