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Finding the Fourth Proportional to 4,261.68, 6,390 and 1,661.58

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Solution

The fourth proportional to 4,261.68, 6,390 and 1,661.58 is: 2,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.68 : 6,390 = 1,661.58 : x
  2. Step 2: Convert to fraction form
    4,261.68/6,390 = 1,661.58/x
  3. Step 3: Cross multiply
    4,261.68x = 6,390 × 1,661.58
  4. Step 4: Simplify right side
    4,261.68x = 10,617,496.20
  5. Step 5: Solve for x
    x = 10,617,496.20/4,261.68
  6. Step 6: Final answer
    x = 2,491.39

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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.