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Finding the Fourth Proportional to 2,778.60, 4,157.47 and 1,663.92

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Solution

The fourth proportional to 2,778.60, 4,157.47 and 1,663.92 is: 2,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.60 : 4,157.47 = 1,663.92 : x
  2. Step 2: Convert to fraction form
    2,778.60/4,157.47 = 1,663.92/x
  3. Step 3: Cross multiply
    2,778.60x = 4,157.47 × 1,663.92
  4. Step 4: Simplify right side
    2,778.60x = 6,917,697.48
  5. Step 5: Solve for x
    x = 6,917,697.48/2,778.60
  6. Step 6: Final answer
    x = 2,489.63

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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.