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Finding the Fourth Proportional to 4,262.84, 6,391.74 and 1,665.26

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Solution

The fourth proportional to 4,262.84, 6,391.74 and 1,665.26 is: 2,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.84 : 6,391.74 = 1,665.26 : x
  2. Step 2: Convert to fraction form
    4,262.84/6,391.74 = 1,665.26/x
  3. Step 3: Cross multiply
    4,262.84x = 6,391.74 × 1,665.26
  4. Step 4: Simplify right side
    4,262.84x = 10,643,908.95
  5. Step 5: Solve for x
    x = 10,643,908.95/4,262.84
  6. Step 6: Final answer
    x = 2,496.91

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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.