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Finding the Fourth Proportional to 4,264.12, 6,393.54 and 1,664

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Solution

The fourth proportional to 4,264.12, 6,393.54 and 1,664 is: 2,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.12 : 6,393.54 = 1,664 : x
  2. Step 2: Convert to fraction form
    4,264.12/6,393.54 = 1,664/x
  3. Step 3: Cross multiply
    4,264.12x = 6,393.54 × 1,664
  4. Step 4: Simplify right side
    4,264.12x = 10,638,850.56
  5. Step 5: Solve for x
    x = 10,638,850.56/4,264.12
  6. Step 6: Final answer
    x = 2,494.97

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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.