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Finding the Fourth Proportional to 2,503.09, 3,754.59 and 1,204.30

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Solution

The fourth proportional to 2,503.09, 3,754.59 and 1,204.30 is: 1,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.09 : 3,754.59 = 1,204.30 : x
  2. Step 2: Convert to fraction form
    2,503.09/3,754.59 = 1,204.30/x
  3. Step 3: Cross multiply
    2,503.09x = 3,754.59 × 1,204.30
  4. Step 4: Simplify right side
    2,503.09x = 4,521,652.74
  5. Step 5: Solve for x
    x = 4,521,652.74/2,503.09
  6. Step 6: Final answer
    x = 1,806.43

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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.