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Finding the Fourth Proportional to 2,525.07, 3,787.55 and 676.19

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Solution

The fourth proportional to 2,525.07, 3,787.55 and 676.19 is: 1,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.07 : 3,787.55 = 676.19 : x
  2. Step 2: Convert to fraction form
    2,525.07/3,787.55 = 676.19/x
  3. Step 3: Cross multiply
    2,525.07x = 3,787.55 × 676.19
  4. Step 4: Simplify right side
    2,525.07x = 2,561,092.02
  5. Step 5: Solve for x
    x = 2,561,092.02/2,525.07
  6. Step 6: Final answer
    x = 1,014.26

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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.