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Finding the Fourth Proportional to 2,507.19, 3,760.70 and 1,191.57

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Solution

The fourth proportional to 2,507.19, 3,760.70 and 1,191.57 is: 1,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.19 : 3,760.70 = 1,191.57 : x
  2. Step 2: Convert to fraction form
    2,507.19/3,760.70 = 1,191.57/x
  3. Step 3: Cross multiply
    2,507.19x = 3,760.70 × 1,191.57
  4. Step 4: Simplify right side
    2,507.19x = 4,481,149.96
  5. Step 5: Solve for x
    x = 4,481,149.96/2,507.19
  6. Step 6: Final answer
    x = 1,787.32

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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.