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Finding the Fourth Proportional to 3,166.88, 4,370.16 and 1,769.62

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Solution

The fourth proportional to 3,166.88, 4,370.16 and 1,769.62 is: 2,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.88 : 4,370.16 = 1,769.62 : x
  2. Step 2: Convert to fraction form
    3,166.88/4,370.16 = 1,769.62/x
  3. Step 3: Cross multiply
    3,166.88x = 4,370.16 × 1,769.62
  4. Step 4: Simplify right side
    3,166.88x = 7,733,522.54
  5. Step 5: Solve for x
    x = 7,733,522.54/3,166.88
  6. Step 6: Final answer
    x = 2,442.00

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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.