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Finding the Fourth Proportional to 2,702.24, 4,054.20 and 2,411.84

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Solution

The fourth proportional to 2,702.24, 4,054.20 and 2,411.84 is: 3,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.24 : 4,054.20 = 2,411.84 : x
  2. Step 2: Convert to fraction form
    2,702.24/4,054.20 = 2,411.84/x
  3. Step 3: Cross multiply
    2,702.24x = 4,054.20 × 2,411.84
  4. Step 4: Simplify right side
    2,702.24x = 9,778,081.73
  5. Step 5: Solve for x
    x = 9,778,081.73/2,702.24
  6. Step 6: Final answer
    x = 3,618.51

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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.