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Finding the Fourth Proportional to 2,468.34, 3,702.96 and 825.03

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Solution

The fourth proportional to 2,468.34, 3,702.96 and 825.03 is: 1,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,702.96 = 825.03 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,702.96 = 825.03/x
  3. Step 3: Cross multiply
    2,468.34x = 3,702.96 × 825.03
  4. Step 4: Simplify right side
    2,468.34x = 3,055,053.09
  5. Step 5: Solve for x
    x = 3,055,053.09/2,468.34
  6. Step 6: Final answer
    x = 1,237.70

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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.