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Finding the Fourth Proportional to 2,783.16, 3,841.22 and 2,118.76

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Solution

The fourth proportional to 2,783.16, 3,841.22 and 2,118.76 is: 2,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.16 : 3,841.22 = 2,118.76 : x
  2. Step 2: Convert to fraction form
    2,783.16/3,841.22 = 2,118.76/x
  3. Step 3: Cross multiply
    2,783.16x = 3,841.22 × 2,118.76
  4. Step 4: Simplify right side
    2,783.16x = 8,138,618.98
  5. Step 5: Solve for x
    x = 8,138,618.98/2,783.16
  6. Step 6: Final answer
    x = 2,924.24

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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.