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Finding the Fourth Proportional to 2,468.03, 3,702.74 and 1,008.23

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Solution

The fourth proportional to 2,468.03, 3,702.74 and 1,008.23 is: 1,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.03 : 3,702.74 = 1,008.23 : x
  2. Step 2: Convert to fraction form
    2,468.03/3,702.74 = 1,008.23/x
  3. Step 3: Cross multiply
    2,468.03x = 3,702.74 × 1,008.23
  4. Step 4: Simplify right side
    2,468.03x = 3,733,190.00
  5. Step 5: Solve for x
    x = 3,733,190.00/2,468.03
  6. Step 6: Final answer
    x = 1,512.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.