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Finding the Fourth Proportional to 2,113.85, 2,916.90 and 1,229.58

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Solution

The fourth proportional to 2,113.85, 2,916.90 and 1,229.58 is: 1,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.85 : 2,916.90 = 1,229.58 : x
  2. Step 2: Convert to fraction form
    2,113.85/2,916.90 = 1,229.58/x
  3. Step 3: Cross multiply
    2,113.85x = 2,916.90 × 1,229.58
  4. Step 4: Simplify right side
    2,113.85x = 3,586,561.90
  5. Step 5: Solve for x
    x = 3,586,561.90/2,113.85
  6. Step 6: Final answer
    x = 1,696.69

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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.