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Finding the Fourth Proportional to 2,468.16, 3,702.78 and 1,150.96

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Solution

The fourth proportional to 2,468.16, 3,702.78 and 1,150.96 is: 1,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.16 : 3,702.78 = 1,150.96 : x
  2. Step 2: Convert to fraction form
    2,468.16/3,702.78 = 1,150.96/x
  3. Step 3: Cross multiply
    2,468.16x = 3,702.78 × 1,150.96
  4. Step 4: Simplify right side
    2,468.16x = 4,261,751.67
  5. Step 5: Solve for x
    x = 4,261,751.67/2,468.16
  6. Step 6: Final answer
    x = 1,726.69

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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.