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Finding the Fourth Proportional to 1,601.34, 2,209.98 and 902.71

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Solution

The fourth proportional to 1,601.34, 2,209.98 and 902.71 is: 1,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.34 : 2,209.98 = 902.71 : x
  2. Step 2: Convert to fraction form
    1,601.34/2,209.98 = 902.71/x
  3. Step 3: Cross multiply
    1,601.34x = 2,209.98 × 902.71
  4. Step 4: Simplify right side
    1,601.34x = 1,994,971.05
  5. Step 5: Solve for x
    x = 1,994,971.05/1,601.34
  6. Step 6: Final answer
    x = 1,245.81

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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.