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Finding the Fourth Proportional to 2,523.43, 3,776.54 and 2,304.32

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Solution

The fourth proportional to 2,523.43, 3,776.54 and 2,304.32 is: 3,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.43 : 3,776.54 = 2,304.32 : x
  2. Step 2: Convert to fraction form
    2,523.43/3,776.54 = 2,304.32/x
  3. Step 3: Cross multiply
    2,523.43x = 3,776.54 × 2,304.32
  4. Step 4: Simplify right side
    2,523.43x = 8,702,354.57
  5. Step 5: Solve for x
    x = 8,702,354.57/2,523.43
  6. Step 6: Final answer
    x = 3,448.62

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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.