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Finding the Fourth Proportional to 2,840.86, 4,263.27 and 991.98

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Solution

The fourth proportional to 2,840.86, 4,263.27 and 991.98 is: 1,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.86 : 4,263.27 = 991.98 : x
  2. Step 2: Convert to fraction form
    2,840.86/4,263.27 = 991.98/x
  3. Step 3: Cross multiply
    2,840.86x = 4,263.27 × 991.98
  4. Step 4: Simplify right side
    2,840.86x = 4,229,078.57
  5. Step 5: Solve for x
    x = 4,229,078.57/2,840.86
  6. Step 6: Final answer
    x = 1,488.66

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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.