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Finding the Fourth Proportional to 1,395.75, 2,095.44 and 1,180.69

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Solution

The fourth proportional to 1,395.75, 2,095.44 and 1,180.69 is: 1,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.75 : 2,095.44 = 1,180.69 : x
  2. Step 2: Convert to fraction form
    1,395.75/2,095.44 = 1,180.69/x
  3. Step 3: Cross multiply
    1,395.75x = 2,095.44 × 1,180.69
  4. Step 4: Simplify right side
    1,395.75x = 2,474,065.05
  5. Step 5: Solve for x
    x = 2,474,065.05/1,395.75
  6. Step 6: Final answer
    x = 1,772.57

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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.