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Finding the Fourth Proportional to 2,525.97, 3,787.92 and 1,488.06

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Solution

The fourth proportional to 2,525.97, 3,787.92 and 1,488.06 is: 2,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.97 : 3,787.92 = 1,488.06 : x
  2. Step 2: Convert to fraction form
    2,525.97/3,787.92 = 1,488.06/x
  3. Step 3: Cross multiply
    2,525.97x = 3,787.92 × 1,488.06
  4. Step 4: Simplify right side
    2,525.97x = 5,636,652.24
  5. Step 5: Solve for x
    x = 5,636,652.24/2,525.97
  6. Step 6: Final answer
    x = 2,231.48

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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.