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Finding the Fourth Proportional to 2,525.07, 3,787.20 and 794.10

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Solution

The fourth proportional to 2,525.07, 3,787.20 and 794.10 is: 1,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.07 : 3,787.20 = 794.10 : x
  2. Step 2: Convert to fraction form
    2,525.07/3,787.20 = 794.10/x
  3. Step 3: Cross multiply
    2,525.07x = 3,787.20 × 794.10
  4. Step 4: Simplify right side
    2,525.07x = 3,007,415.52
  5. Step 5: Solve for x
    x = 3,007,415.52/2,525.07
  6. Step 6: Final answer
    x = 1,191.02

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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.