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Finding the Fourth Proportional to 2,503.31, 3,754.82 and 859.68

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Solution

The fourth proportional to 2,503.31, 3,754.82 and 859.68 is: 1,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.31 : 3,754.82 = 859.68 : x
  2. Step 2: Convert to fraction form
    2,503.31/3,754.82 = 859.68/x
  3. Step 3: Cross multiply
    2,503.31x = 3,754.82 × 859.68
  4. Step 4: Simplify right side
    2,503.31x = 3,227,945.81
  5. Step 5: Solve for x
    x = 3,227,945.81/2,503.31
  6. Step 6: Final answer
    x = 1,289.47

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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.