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Finding the Fourth Proportional to 2,678.60, 3,697.72 and 2,015.70

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Solution

The fourth proportional to 2,678.60, 3,697.72 and 2,015.70 is: 2,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.60 : 3,697.72 = 2,015.70 : x
  2. Step 2: Convert to fraction form
    2,678.60/3,697.72 = 2,015.70/x
  3. Step 3: Cross multiply
    2,678.60x = 3,697.72 × 2,015.70
  4. Step 4: Simplify right side
    2,678.60x = 7,453,494.20
  5. Step 5: Solve for x
    x = 7,453,494.20/2,678.60
  6. Step 6: Final answer
    x = 2,782.61

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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.