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Finding the Fourth Proportional to 2,783.48, 3,841.15 and 1,524.50

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Solution

The fourth proportional to 2,783.48, 3,841.15 and 1,524.50 is: 2,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.48 : 3,841.15 = 1,524.50 : x
  2. Step 2: Convert to fraction form
    2,783.48/3,841.15 = 1,524.50/x
  3. Step 3: Cross multiply
    2,783.48x = 3,841.15 × 1,524.50
  4. Step 4: Simplify right side
    2,783.48x = 5,855,833.18
  5. Step 5: Solve for x
    x = 5,855,833.18/2,783.48
  6. Step 6: Final answer
    x = 2,103.78

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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.