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Finding the Fourth Proportional to 2,601.34, 3,902.07 and 846.35

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Solution

The fourth proportional to 2,601.34, 3,902.07 and 846.35 is: 1,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.34 : 3,902.07 = 846.35 : x
  2. Step 2: Convert to fraction form
    2,601.34/3,902.07 = 846.35/x
  3. Step 3: Cross multiply
    2,601.34x = 3,902.07 × 846.35
  4. Step 4: Simplify right side
    2,601.34x = 3,302,515.24
  5. Step 5: Solve for x
    x = 3,302,515.24/2,601.34
  6. Step 6: Final answer
    x = 1,269.54

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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.