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Finding the Fourth Proportional to 2,114.44, 2,918.14 and 1,230.19

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Solution

The fourth proportional to 2,114.44, 2,918.14 and 1,230.19 is: 1,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.44 : 2,918.14 = 1,230.19 : x
  2. Step 2: Convert to fraction form
    2,114.44/2,918.14 = 1,230.19/x
  3. Step 3: Cross multiply
    2,114.44x = 2,918.14 × 1,230.19
  4. Step 4: Simplify right side
    2,114.44x = 3,589,854.11
  5. Step 5: Solve for x
    x = 3,589,854.11/2,114.44
  6. Step 6: Final answer
    x = 1,697.78

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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.