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Finding the Fourth Proportional to 3,188.04, 4,777.74 and 1,452.60

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Solution

The fourth proportional to 3,188.04, 4,777.74 and 1,452.60 is: 2,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.04 : 4,777.74 = 1,452.60 : x
  2. Step 2: Convert to fraction form
    3,188.04/4,777.74 = 1,452.60/x
  3. Step 3: Cross multiply
    3,188.04x = 4,777.74 × 1,452.60
  4. Step 4: Simplify right side
    3,188.04x = 6,940,145.12
  5. Step 5: Solve for x
    x = 6,940,145.12/3,188.04
  6. Step 6: Final answer
    x = 2,176.93

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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.