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Finding the Fourth Proportional to 2,783.74, 3,841.60 and 1,524.77

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Solution

The fourth proportional to 2,783.74, 3,841.60 and 1,524.77 is: 2,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.74 : 3,841.60 = 1,524.77 : x
  2. Step 2: Convert to fraction form
    2,783.74/3,841.60 = 1,524.77/x
  3. Step 3: Cross multiply
    2,783.74x = 3,841.60 × 1,524.77
  4. Step 4: Simplify right side
    2,783.74x = 5,857,533.41
  5. Step 5: Solve for x
    x = 5,857,533.41/2,783.74
  6. Step 6: Final answer
    x = 2,104.20

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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.