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Finding the Fourth Proportional to 2,496.30, 3,743.19 and 764.70

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Solution

The fourth proportional to 2,496.30, 3,743.19 and 764.70 is: 1,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.30 : 3,743.19 = 764.70 : x
  2. Step 2: Convert to fraction form
    2,496.30/3,743.19 = 764.70/x
  3. Step 3: Cross multiply
    2,496.30x = 3,743.19 × 764.70
  4. Step 4: Simplify right side
    2,496.30x = 2,862,417.39
  5. Step 5: Solve for x
    x = 2,862,417.39/2,496.30
  6. Step 6: Final answer
    x = 1,146.66

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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.