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Finding the Fourth Proportional to 1,349, 1,861.62 and 935

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Solution

The fourth proportional to 1,349, 1,861.62 and 935 is: 1,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349 : 1,861.62 = 935 : x
  2. Step 2: Convert to fraction form
    1,349/1,861.62 = 935/x
  3. Step 3: Cross multiply
    1,349x = 1,861.62 × 935
  4. Step 4: Simplify right side
    1,349x = 1,740,614.70
  5. Step 5: Solve for x
    x = 1,740,614.70/1,349
  6. Step 6: Final answer
    x = 1,290.30

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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.