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Finding the Fourth Proportional to 2,157.76, 3,237.80 and 1,183.92

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Solution

The fourth proportional to 2,157.76, 3,237.80 and 1,183.92 is: 1,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.76 : 3,237.80 = 1,183.92 : x
  2. Step 2: Convert to fraction form
    2,157.76/3,237.80 = 1,183.92/x
  3. Step 3: Cross multiply
    2,157.76x = 3,237.80 × 1,183.92
  4. Step 4: Simplify right side
    2,157.76x = 3,833,296.18
  5. Step 5: Solve for x
    x = 3,833,296.18/2,157.76
  6. Step 6: Final answer
    x = 1,776.52

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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.