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Finding the Fourth Proportional to 3,166.90, 4,752.15 and 2,193.70

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Solution

The fourth proportional to 3,166.90, 4,752.15 and 2,193.70 is: 3,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.90 : 4,752.15 = 2,193.70 : x
  2. Step 2: Convert to fraction form
    3,166.90/4,752.15 = 2,193.70/x
  3. Step 3: Cross multiply
    3,166.90x = 4,752.15 × 2,193.70
  4. Step 4: Simplify right side
    3,166.90x = 10,424,791.46
  5. Step 5: Solve for x
    x = 10,424,791.46/3,166.90
  6. Step 6: Final answer
    x = 3,291.80

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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.