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Finding the Fourth Proportional to 4,614.64, 6,921.94 and 1,693.17

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Solution

The fourth proportional to 4,614.64, 6,921.94 and 1,693.17 is: 2,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.64 : 6,921.94 = 1,693.17 : x
  2. Step 2: Convert to fraction form
    4,614.64/6,921.94 = 1,693.17/x
  3. Step 3: Cross multiply
    4,614.64x = 6,921.94 × 1,693.17
  4. Step 4: Simplify right side
    4,614.64x = 11,720,021.15
  5. Step 5: Solve for x
    x = 11,720,021.15/4,614.64
  6. Step 6: Final answer
    x = 2,539.75

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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.