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Finding the Fourth Proportional to 2,527.02, 3,791.07 and 795.63

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Solution

The fourth proportional to 2,527.02, 3,791.07 and 795.63 is: 1,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.02 : 3,791.07 = 795.63 : x
  2. Step 2: Convert to fraction form
    2,527.02/3,791.07 = 795.63/x
  3. Step 3: Cross multiply
    2,527.02x = 3,791.07 × 795.63
  4. Step 4: Simplify right side
    2,527.02x = 3,016,289.02
  5. Step 5: Solve for x
    x = 3,016,289.02/2,527.02
  6. Step 6: Final answer
    x = 1,193.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.