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Finding the Fourth Proportional to 1,415.44, 1,946.46 and 1,132.12

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Solution

The fourth proportional to 1,415.44, 1,946.46 and 1,132.12 is: 1,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.44 : 1,946.46 = 1,132.12 : x
  2. Step 2: Convert to fraction form
    1,415.44/1,946.46 = 1,132.12/x
  3. Step 3: Cross multiply
    1,415.44x = 1,946.46 × 1,132.12
  4. Step 4: Simplify right side
    1,415.44x = 2,203,626.30
  5. Step 5: Solve for x
    x = 2,203,626.30/1,415.44
  6. Step 6: Final answer
    x = 1,556.85

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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.