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Finding the Fourth Proportional to 2,652.77, 3,980.51 and 1,191.62

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Solution

The fourth proportional to 2,652.77, 3,980.51 and 1,191.62 is: 1,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.77 : 3,980.51 = 1,191.62 : x
  2. Step 2: Convert to fraction form
    2,652.77/3,980.51 = 1,191.62/x
  3. Step 3: Cross multiply
    2,652.77x = 3,980.51 × 1,191.62
  4. Step 4: Simplify right side
    2,652.77x = 4,743,255.33
  5. Step 5: Solve for x
    x = 4,743,255.33/2,652.77
  6. Step 6: Final answer
    x = 1,788.04

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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.