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Finding the Fourth Proportional to 3,114.56, 4,297.78 and 1,919.36

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Solution

The fourth proportional to 3,114.56, 4,297.78 and 1,919.36 is: 2,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.56 : 4,297.78 = 1,919.36 : x
  2. Step 2: Convert to fraction form
    3,114.56/4,297.78 = 1,919.36/x
  3. Step 3: Cross multiply
    3,114.56x = 4,297.78 × 1,919.36
  4. Step 4: Simplify right side
    3,114.56x = 8,248,987.02
  5. Step 5: Solve for x
    x = 8,248,987.02/3,114.56
  6. Step 6: Final answer
    x = 2,648.52

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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.