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Finding the Fourth Proportional to 2,469.04, 3,702.54 and 825.16

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Solution

The fourth proportional to 2,469.04, 3,702.54 and 825.16 is: 1,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.04 : 3,702.54 = 825.16 : x
  2. Step 2: Convert to fraction form
    2,469.04/3,702.54 = 825.16/x
  3. Step 3: Cross multiply
    2,469.04x = 3,702.54 × 825.16
  4. Step 4: Simplify right side
    2,469.04x = 3,055,187.91
  5. Step 5: Solve for x
    x = 3,055,187.91/2,469.04
  6. Step 6: Final answer
    x = 1,237.40

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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.