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Finding the Fourth Proportional to 2,114.08, 2,917.16 and 1,229.68

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Solution

The fourth proportional to 2,114.08, 2,917.16 and 1,229.68 is: 1,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.08 : 2,917.16 = 1,229.68 : x
  2. Step 2: Convert to fraction form
    2,114.08/2,917.16 = 1,229.68/x
  3. Step 3: Cross multiply
    2,114.08x = 2,917.16 × 1,229.68
  4. Step 4: Simplify right side
    2,114.08x = 3,587,173.31
  5. Step 5: Solve for x
    x = 3,587,173.31/2,114.08
  6. Step 6: Final answer
    x = 1,696.80

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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.