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Finding the Fourth Proportional to 2,468.88, 3,702.51 and 1,008.45

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Solution

The fourth proportional to 2,468.88, 3,702.51 and 1,008.45 is: 1,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.88 : 3,702.51 = 1,008.45 : x
  2. Step 2: Convert to fraction form
    2,468.88/3,702.51 = 1,008.45/x
  3. Step 3: Cross multiply
    2,468.88x = 3,702.51 × 1,008.45
  4. Step 4: Simplify right side
    2,468.88x = 3,733,796.21
  5. Step 5: Solve for x
    x = 3,733,796.21/2,468.88
  6. Step 6: Final answer
    x = 1,512.34

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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.