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Finding the Fourth Proportional to 2,525.65, 3,789.24 and 1,972.27

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Solution

The fourth proportional to 2,525.65, 3,789.24 and 1,972.27 is: 2,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.65 : 3,789.24 = 1,972.27 : x
  2. Step 2: Convert to fraction form
    2,525.65/3,789.24 = 1,972.27/x
  3. Step 3: Cross multiply
    2,525.65x = 3,789.24 × 1,972.27
  4. Step 4: Simplify right side
    2,525.65x = 7,473,404.37
  5. Step 5: Solve for x
    x = 7,473,404.37/2,525.65
  6. Step 6: Final answer
    x = 2,959.00

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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.