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Finding the Fourth Proportional to 2,524.91, 3,768.17 and 2,357.80

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Solution

The fourth proportional to 2,524.91, 3,768.17 and 2,357.80 is: 3,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.91 : 3,768.17 = 2,357.80 : x
  2. Step 2: Convert to fraction form
    2,524.91/3,768.17 = 2,357.80/x
  3. Step 3: Cross multiply
    2,524.91x = 3,768.17 × 2,357.80
  4. Step 4: Simplify right side
    2,524.91x = 8,884,570.02
  5. Step 5: Solve for x
    x = 8,884,570.02/2,524.91
  6. Step 6: Final answer
    x = 3,518.77

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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.