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Finding the Fourth Proportional to 2,662.52, 3,994.45 and 813.56

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Solution

The fourth proportional to 2,662.52, 3,994.45 and 813.56 is: 1,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.52 : 3,994.45 = 813.56 : x
  2. Step 2: Convert to fraction form
    2,662.52/3,994.45 = 813.56/x
  3. Step 3: Cross multiply
    2,662.52x = 3,994.45 × 813.56
  4. Step 4: Simplify right side
    2,662.52x = 3,249,702.74
  5. Step 5: Solve for x
    x = 3,249,702.74/2,662.52
  6. Step 6: Final answer
    x = 1,220.54

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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.