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Finding the Fourth Proportional to 2,678.47, 3,697.44 and 2,015.48

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Solution

The fourth proportional to 2,678.47, 3,697.44 and 2,015.48 is: 2,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.47 : 3,697.44 = 2,015.48 : x
  2. Step 2: Convert to fraction form
    2,678.47/3,697.44 = 2,015.48/x
  3. Step 3: Cross multiply
    2,678.47x = 3,697.44 × 2,015.48
  4. Step 4: Simplify right side
    2,678.47x = 7,452,116.37
  5. Step 5: Solve for x
    x = 7,452,116.37/2,678.47
  6. Step 6: Final answer
    x = 2,782.23

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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.