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Finding the Fourth Proportional to 2,114.06, 2,916.86 and 1,229.31

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Solution

The fourth proportional to 2,114.06, 2,916.86 and 1,229.31 is: 1,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.06 : 2,916.86 = 1,229.31 : x
  2. Step 2: Convert to fraction form
    2,114.06/2,916.86 = 1,229.31/x
  3. Step 3: Cross multiply
    2,114.06x = 2,916.86 × 1,229.31
  4. Step 4: Simplify right side
    2,114.06x = 3,585,719.02
  5. Step 5: Solve for x
    x = 3,585,719.02/2,114.06
  6. Step 6: Final answer
    x = 1,696.13

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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.