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Finding the Fourth Proportional to 2,113.58, 2,916.99 and 1,229.38

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Solution

The fourth proportional to 2,113.58, 2,916.99 and 1,229.38 is: 1,696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.58 : 2,916.99 = 1,229.38 : x
  2. Step 2: Convert to fraction form
    2,113.58/2,916.99 = 1,229.38/x
  3. Step 3: Cross multiply
    2,113.58x = 2,916.99 × 1,229.38
  4. Step 4: Simplify right side
    2,113.58x = 3,586,089.17
  5. Step 5: Solve for x
    x = 3,586,089.17/2,113.58
  6. Step 6: Final answer
    x = 1,696.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.