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Finding the Fourth Proportional to 2,864.08, 3,952.56 and 2,242

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Solution

The fourth proportional to 2,864.08, 3,952.56 and 2,242 is: 3,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.08 : 3,952.56 = 2,242 : x
  2. Step 2: Convert to fraction form
    2,864.08/3,952.56 = 2,242/x
  3. Step 3: Cross multiply
    2,864.08x = 3,952.56 × 2,242
  4. Step 4: Simplify right side
    2,864.08x = 8,861,639.52
  5. Step 5: Solve for x
    x = 8,861,639.52/2,864.08
  6. Step 6: Final answer
    x = 3,094.06

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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.