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Finding the Fourth Proportional to 2,114.69, 2,917.62 and 1,229.87

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Solution

The fourth proportional to 2,114.69, 2,917.62 and 1,229.87 is: 1,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.69 : 2,917.62 = 1,229.87 : x
  2. Step 2: Convert to fraction form
    2,114.69/2,917.62 = 1,229.87/x
  3. Step 3: Cross multiply
    2,114.69x = 2,917.62 × 1,229.87
  4. Step 4: Simplify right side
    2,114.69x = 3,588,278.72
  5. Step 5: Solve for x
    x = 3,588,278.72/2,114.69
  6. Step 6: Final answer
    x = 1,696.84

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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.