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Finding the Fourth Proportional to 2,503.56, 3,753.76 and 859.96

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Solution

The fourth proportional to 2,503.56, 3,753.76 and 859.96 is: 1,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.56 : 3,753.76 = 859.96 : x
  2. Step 2: Convert to fraction form
    2,503.56/3,753.76 = 859.96/x
  3. Step 3: Cross multiply
    2,503.56x = 3,753.76 × 859.96
  4. Step 4: Simplify right side
    2,503.56x = 3,228,083.45
  5. Step 5: Solve for x
    x = 3,228,083.45/2,503.56
  6. Step 6: Final answer
    x = 1,289.40

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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.