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Finding the Fourth Proportional to 2,523.34, 3,768 and 2,062.04

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Solution

The fourth proportional to 2,523.34, 3,768 and 2,062.04 is: 3,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.34 : 3,768 = 2,062.04 : x
  2. Step 2: Convert to fraction form
    2,523.34/3,768 = 2,062.04/x
  3. Step 3: Cross multiply
    2,523.34x = 3,768 × 2,062.04
  4. Step 4: Simplify right side
    2,523.34x = 7,769,766.72
  5. Step 5: Solve for x
    x = 7,769,766.72/2,523.34
  6. Step 6: Final answer
    x = 3,079.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.