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Finding the Fourth Proportional to 3,194.16, 4,406.91 and 2,076

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Solution

The fourth proportional to 3,194.16, 4,406.91 and 2,076 is: 2,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.16 : 4,406.91 = 2,076 : x
  2. Step 2: Convert to fraction form
    3,194.16/4,406.91 = 2,076/x
  3. Step 3: Cross multiply
    3,194.16x = 4,406.91 × 2,076
  4. Step 4: Simplify right side
    3,194.16x = 9,148,745.16
  5. Step 5: Solve for x
    x = 9,148,745.16/3,194.16
  6. Step 6: Final answer
    x = 2,864.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.