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Finding the Fourth Proportional to 2,783.77, 3,841.65 and 1,524.80

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Solution

The fourth proportional to 2,783.77, 3,841.65 and 1,524.80 is: 2,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.77 : 3,841.65 = 1,524.80 : x
  2. Step 2: Convert to fraction form
    2,783.77/3,841.65 = 1,524.80/x
  3. Step 3: Cross multiply
    2,783.77x = 3,841.65 × 1,524.80
  4. Step 4: Simplify right side
    2,783.77x = 5,857,747.92
  5. Step 5: Solve for x
    x = 5,857,747.92/2,783.77
  6. Step 6: Final answer
    x = 2,104.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.