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Finding the Fourth Proportional to 2,114.77, 2,919.10 and 1,231.31

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Solution

The fourth proportional to 2,114.77, 2,919.10 and 1,231.31 is: 1,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.77 : 2,919.10 = 1,231.31 : x
  2. Step 2: Convert to fraction form
    2,114.77/2,919.10 = 1,231.31/x
  3. Step 3: Cross multiply
    2,114.77x = 2,919.10 × 1,231.31
  4. Step 4: Simplify right side
    2,114.77x = 3,594,317.02
  5. Step 5: Solve for x
    x = 3,594,317.02/2,114.77
  6. Step 6: Final answer
    x = 1,699.63

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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.