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Finding the Fourth Proportional to 2,113.34, 2,916.18 and 1,229.32

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Solution

The fourth proportional to 2,113.34, 2,916.18 and 1,229.32 is: 1,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.34 : 2,916.18 = 1,229.32 : x
  2. Step 2: Convert to fraction form
    2,113.34/2,916.18 = 1,229.32/x
  3. Step 3: Cross multiply
    2,113.34x = 2,916.18 × 1,229.32
  4. Step 4: Simplify right side
    2,113.34x = 3,584,918.40
  5. Step 5: Solve for x
    x = 3,584,918.40/2,113.34
  6. Step 6: Final answer
    x = 1,696.33

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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.