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Finding the Fourth Proportional to 2,783.10, 3,839.22 and 2,258.22

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Solution

The fourth proportional to 2,783.10, 3,839.22 and 2,258.22 is: 3,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.10 : 3,839.22 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    2,783.10/3,839.22 = 2,258.22/x
  3. Step 3: Cross multiply
    2,783.10x = 3,839.22 × 2,258.22
  4. Step 4: Simplify right side
    2,783.10x = 8,669,803.39
  5. Step 5: Solve for x
    x = 8,669,803.39/2,783.10
  6. Step 6: Final answer
    x = 3,115.16

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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.