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Finding the Fourth Proportional to 2,524.84, 3,784.92 and 2,317.21

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Solution

The fourth proportional to 2,524.84, 3,784.92 and 2,317.21 is: 3,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.84 : 3,784.92 = 2,317.21 : x
  2. Step 2: Convert to fraction form
    2,524.84/3,784.92 = 2,317.21/x
  3. Step 3: Cross multiply
    2,524.84x = 3,784.92 × 2,317.21
  4. Step 4: Simplify right side
    2,524.84x = 8,770,442.89
  5. Step 5: Solve for x
    x = 8,770,442.89/2,524.84
  6. Step 6: Final answer
    x = 3,473.66

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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.