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Finding the Fourth Proportional to 4,262.10, 6,390.54 and 1,662

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Solution

The fourth proportional to 4,262.10, 6,390.54 and 1,662 is: 2,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.10 : 6,390.54 = 1,662 : x
  2. Step 2: Convert to fraction form
    4,262.10/6,390.54 = 1,662/x
  3. Step 3: Cross multiply
    4,262.10x = 6,390.54 × 1,662
  4. Step 4: Simplify right side
    4,262.10x = 10,621,077.48
  5. Step 5: Solve for x
    x = 10,621,077.48/4,262.10
  6. Step 6: Final answer
    x = 2,491.98

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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.