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Finding the Fourth Proportional to 2,468.58, 3,702.95 and 825.08

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Solution

The fourth proportional to 2,468.58, 3,702.95 and 825.08 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.58 : 3,702.95 = 825.08 : x
  2. Step 2: Convert to fraction form
    2,468.58/3,702.95 = 825.08/x
  3. Step 3: Cross multiply
    2,468.58x = 3,702.95 × 825.08
  4. Step 4: Simplify right side
    2,468.58x = 3,055,207.35
  5. Step 5: Solve for x
    x = 3,055,207.35/2,468.58
  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.