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Finding the Fourth Proportional to 2,942.86, 4,064.74 and 2,200.12

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Solution

The fourth proportional to 2,942.86, 4,064.74 and 2,200.12 is: 3,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.86 : 4,064.74 = 2,200.12 : x
  2. Step 2: Convert to fraction form
    2,942.86/4,064.74 = 2,200.12/x
  3. Step 3: Cross multiply
    2,942.86x = 4,064.74 × 2,200.12
  4. Step 4: Simplify right side
    2,942.86x = 8,942,895.45
  5. Step 5: Solve for x
    x = 8,942,895.45/2,942.86
  6. Step 6: Final answer
    x = 3,038.85

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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.