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Finding the Fourth Proportional to 2,778.32, 3,832.64 and 2,114.08

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Solution

The fourth proportional to 2,778.32, 3,832.64 and 2,114.08 is: 2,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.32 : 3,832.64 = 2,114.08 : x
  2. Step 2: Convert to fraction form
    2,778.32/3,832.64 = 2,114.08/x
  3. Step 3: Cross multiply
    2,778.32x = 3,832.64 × 2,114.08
  4. Step 4: Simplify right side
    2,778.32x = 8,102,507.57
  5. Step 5: Solve for x
    x = 8,102,507.57/2,778.32
  6. Step 6: Final answer
    x = 2,916.33

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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.