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Finding the Fourth Proportional to 2,767.01, 3,823.32 and 2,212.06

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Solution

The fourth proportional to 2,767.01, 3,823.32 and 2,212.06 is: 3,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.01 : 3,823.32 = 2,212.06 : x
  2. Step 2: Convert to fraction form
    2,767.01/3,823.32 = 2,212.06/x
  3. Step 3: Cross multiply
    2,767.01x = 3,823.32 × 2,212.06
  4. Step 4: Simplify right side
    2,767.01x = 8,457,394.12
  5. Step 5: Solve for x
    x = 8,457,394.12/2,767.01
  6. Step 6: Final answer
    x = 3,056.52

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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.