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Finding the Fourth Proportional to 2,466.78, 3,702.08 and 1,169.16

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Solution

The fourth proportional to 2,466.78, 3,702.08 and 1,169.16 is: 1,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.78 : 3,702.08 = 1,169.16 : x
  2. Step 2: Convert to fraction form
    2,466.78/3,702.08 = 1,169.16/x
  3. Step 3: Cross multiply
    2,466.78x = 3,702.08 × 1,169.16
  4. Step 4: Simplify right side
    2,466.78x = 4,328,323.85
  5. Step 5: Solve for x
    x = 4,328,323.85/2,466.78
  6. Step 6: Final answer
    x = 1,754.65

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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.