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Finding the Fourth Proportional to 2,527.56, 3,790.24 and 967.92

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Solution

The fourth proportional to 2,527.56, 3,790.24 and 967.92 is: 1,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.56 : 3,790.24 = 967.92 : x
  2. Step 2: Convert to fraction form
    2,527.56/3,790.24 = 967.92/x
  3. Step 3: Cross multiply
    2,527.56x = 3,790.24 × 967.92
  4. Step 4: Simplify right side
    2,527.56x = 3,668,649.10
  5. Step 5: Solve for x
    x = 3,668,649.10/2,527.56
  6. Step 6: Final answer
    x = 1,451.46

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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.