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Finding the Fourth Proportional to 2,525.06, 3,787.74 and 1,064.33

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Solution

The fourth proportional to 2,525.06, 3,787.74 and 1,064.33 is: 1,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.06 : 3,787.74 = 1,064.33 : x
  2. Step 2: Convert to fraction form
    2,525.06/3,787.74 = 1,064.33/x
  3. Step 3: Cross multiply
    2,525.06x = 3,787.74 × 1,064.33
  4. Step 4: Simplify right side
    2,525.06x = 4,031,405.31
  5. Step 5: Solve for x
    x = 4,031,405.31/2,525.06
  6. Step 6: Final answer
    x = 1,596.56

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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.