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Finding the Fourth Proportional to 2,468.44, 3,702.62 and 825.10

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Solution

The fourth proportional to 2,468.44, 3,702.62 and 825.10 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.44 : 3,702.62 = 825.10 : x
  2. Step 2: Convert to fraction form
    2,468.44/3,702.62 = 825.10/x
  3. Step 3: Cross multiply
    2,468.44x = 3,702.62 × 825.10
  4. Step 4: Simplify right side
    2,468.44x = 3,055,031.76
  5. Step 5: Solve for x
    x = 3,055,031.76/2,468.44
  6. Step 6: Final answer
    x = 1,237.64

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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.