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Finding the Fourth Proportional to 2,983.42, 4,477.92 and 1,523.62

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Solution

The fourth proportional to 2,983.42, 4,477.92 and 1,523.62 is: 2,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.42 : 4,477.92 = 1,523.62 : x
  2. Step 2: Convert to fraction form
    2,983.42/4,477.92 = 1,523.62/x
  3. Step 3: Cross multiply
    2,983.42x = 4,477.92 × 1,523.62
  4. Step 4: Simplify right side
    2,983.42x = 6,822,648.47
  5. Step 5: Solve for x
    x = 6,822,648.47/2,983.42
  6. Step 6: Final answer
    x = 2,286.85

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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.