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Finding the Fourth Proportional to 3,034.66, 4,552.12 and 1,185.60

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Solution

The fourth proportional to 3,034.66, 4,552.12 and 1,185.60 is: 1,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.66 : 4,552.12 = 1,185.60 : x
  2. Step 2: Convert to fraction form
    3,034.66/4,552.12 = 1,185.60/x
  3. Step 3: Cross multiply
    3,034.66x = 4,552.12 × 1,185.60
  4. Step 4: Simplify right side
    3,034.66x = 5,396,993.47
  5. Step 5: Solve for x
    x = 5,396,993.47/3,034.66
  6. Step 6: Final answer
    x = 1,778.45

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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.