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Finding the Fourth Proportional to 2,404.60, 3,314.46 and 2,015.80

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Solution

The fourth proportional to 2,404.60, 3,314.46 and 2,015.80 is: 2,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.60 : 3,314.46 = 2,015.80 : x
  2. Step 2: Convert to fraction form
    2,404.60/3,314.46 = 2,015.80/x
  3. Step 3: Cross multiply
    2,404.60x = 3,314.46 × 2,015.80
  4. Step 4: Simplify right side
    2,404.60x = 6,681,288.47
  5. Step 5: Solve for x
    x = 6,681,288.47/2,404.60
  6. Step 6: Final answer
    x = 2,778.54

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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.