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Finding the Fourth Proportional to 3,608.76, 4,980.42 and 2,037

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Solution

The fourth proportional to 3,608.76, 4,980.42 and 2,037 is: 2,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.76 : 4,980.42 = 2,037 : x
  2. Step 2: Convert to fraction form
    3,608.76/4,980.42 = 2,037/x
  3. Step 3: Cross multiply
    3,608.76x = 4,980.42 × 2,037
  4. Step 4: Simplify right side
    3,608.76x = 10,145,115.54
  5. Step 5: Solve for x
    x = 10,145,115.54/3,608.76
  6. Step 6: Final answer
    x = 2,811.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.