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Finding the Fourth Proportional to 2,614.23, 3,921 and 666.32

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Solution

The fourth proportional to 2,614.23, 3,921 and 666.32 is: 999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.23 : 3,921 = 666.32 : x
  2. Step 2: Convert to fraction form
    2,614.23/3,921 = 666.32/x
  3. Step 3: Cross multiply
    2,614.23x = 3,921 × 666.32
  4. Step 4: Simplify right side
    2,614.23x = 2,612,621.12
  5. Step 5: Solve for x
    x = 2,612,621.12/2,614.23
  6. Step 6: Final answer
    x = 999.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.