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Finding the Fourth Proportional to 4,502.80, 6,756.62 and 2,194.30

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Solution

The fourth proportional to 4,502.80, 6,756.62 and 2,194.30 is: 3,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.80 : 6,756.62 = 2,194.30 : x
  2. Step 2: Convert to fraction form
    4,502.80/6,756.62 = 2,194.30/x
  3. Step 3: Cross multiply
    4,502.80x = 6,756.62 × 2,194.30
  4. Step 4: Simplify right side
    4,502.80x = 14,826,051.27
  5. Step 5: Solve for x
    x = 14,826,051.27/4,502.80
  6. Step 6: Final answer
    x = 3,292.63

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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.