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Finding the Fourth Proportional to 2,469.62, 3,702.23 and 1,009.80

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Solution

The fourth proportional to 2,469.62, 3,702.23 and 1,009.80 is: 1,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.62 : 3,702.23 = 1,009.80 : x
  2. Step 2: Convert to fraction form
    2,469.62/3,702.23 = 1,009.80/x
  3. Step 3: Cross multiply
    2,469.62x = 3,702.23 × 1,009.80
  4. Step 4: Simplify right side
    2,469.62x = 3,738,506.81
  5. Step 5: Solve for x
    x = 3,738,506.81/2,469.62
  6. Step 6: Final answer
    x = 1,513.80

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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.