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Finding the Fourth Proportional to 2,467.80, 3,702.51 and 1,152.18

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Solution

The fourth proportional to 2,467.80, 3,702.51 and 1,152.18 is: 1,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.80 : 3,702.51 = 1,152.18 : x
  2. Step 2: Convert to fraction form
    2,467.80/3,702.51 = 1,152.18/x
  3. Step 3: Cross multiply
    2,467.80x = 3,702.51 × 1,152.18
  4. Step 4: Simplify right side
    2,467.80x = 4,265,957.97
  5. Step 5: Solve for x
    x = 4,265,957.97/2,467.80
  6. Step 6: Final answer
    x = 1,728.65

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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.