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Finding the Fourth Proportional to 2,496.16, 3,744.24 and 764.76

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Solution

The fourth proportional to 2,496.16, 3,744.24 and 764.76 is: 1,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.16 : 3,744.24 = 764.76 : x
  2. Step 2: Convert to fraction form
    2,496.16/3,744.24 = 764.76/x
  3. Step 3: Cross multiply
    2,496.16x = 3,744.24 × 764.76
  4. Step 4: Simplify right side
    2,496.16x = 2,863,444.98
  5. Step 5: Solve for x
    x = 2,863,444.98/2,496.16
  6. Step 6: Final answer
    x = 1,147.14

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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.