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Finding the Fourth Proportional to 2,503.69, 3,754.73 and 859.84

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Solution

The fourth proportional to 2,503.69, 3,754.73 and 859.84 is: 1,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.69 : 3,754.73 = 859.84 : x
  2. Step 2: Convert to fraction form
    2,503.69/3,754.73 = 859.84/x
  3. Step 3: Cross multiply
    2,503.69x = 3,754.73 × 859.84
  4. Step 4: Simplify right side
    2,503.69x = 3,228,459.81
  5. Step 5: Solve for x
    x = 3,228,459.81/2,503.69
  6. Step 6: Final answer
    x = 1,289.48

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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.