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Finding the Fourth Proportional to 4,190.16, 6,280.92 and 1,415.92

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Solution

The fourth proportional to 4,190.16, 6,280.92 and 1,415.92 is: 2,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.16 : 6,280.92 = 1,415.92 : x
  2. Step 2: Convert to fraction form
    4,190.16/6,280.92 = 1,415.92/x
  3. Step 3: Cross multiply
    4,190.16x = 6,280.92 × 1,415.92
  4. Step 4: Simplify right side
    4,190.16x = 8,893,280.25
  5. Step 5: Solve for x
    x = 8,893,280.25/4,190.16
  6. Step 6: Final answer
    x = 2,122.42

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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.