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Finding the Fourth Proportional to 2,967.64, 4,076.99 and 2,656.96

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Solution

The fourth proportional to 2,967.64, 4,076.99 and 2,656.96 is: 3,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.64 : 4,076.99 = 2,656.96 : x
  2. Step 2: Convert to fraction form
    2,967.64/4,076.99 = 2,656.96/x
  3. Step 3: Cross multiply
    2,967.64x = 4,076.99 × 2,656.96
  4. Step 4: Simplify right side
    2,967.64x = 10,832,399.35
  5. Step 5: Solve for x
    x = 10,832,399.35/2,967.64
  6. Step 6: Final answer
    x = 3,650.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.