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Finding the Fourth Proportional to 2,503.98, 3,753.54 and 859.37

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Solution

The fourth proportional to 2,503.98, 3,753.54 and 859.37 is: 1,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.98 : 3,753.54 = 859.37 : x
  2. Step 2: Convert to fraction form
    2,503.98/3,753.54 = 859.37/x
  3. Step 3: Cross multiply
    2,503.98x = 3,753.54 × 859.37
  4. Step 4: Simplify right side
    2,503.98x = 3,225,660.90
  5. Step 5: Solve for x
    x = 3,225,660.90/2,503.98
  6. Step 6: Final answer
    x = 1,288.21

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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.