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Finding the Fourth Proportional to 1,696.34, 2,545.49 and 916.34

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Solution

The fourth proportional to 1,696.34, 2,545.49 and 916.34 is: 1,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.34 : 2,545.49 = 916.34 : x
  2. Step 2: Convert to fraction form
    1,696.34/2,545.49 = 916.34/x
  3. Step 3: Cross multiply
    1,696.34x = 2,545.49 × 916.34
  4. Step 4: Simplify right side
    1,696.34x = 2,332,534.31
  5. Step 5: Solve for x
    x = 2,332,534.31/1,696.34
  6. Step 6: Final answer
    x = 1,375.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.