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Finding the Fourth Proportional to 1,393.14, 1,923.06 and 1,195.86

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Solution

The fourth proportional to 1,393.14, 1,923.06 and 1,195.86 is: 1,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.14 : 1,923.06 = 1,195.86 : x
  2. Step 2: Convert to fraction form
    1,393.14/1,923.06 = 1,195.86/x
  3. Step 3: Cross multiply
    1,393.14x = 1,923.06 × 1,195.86
  4. Step 4: Simplify right side
    1,393.14x = 2,299,710.53
  5. Step 5: Solve for x
    x = 2,299,710.53/1,393.14
  6. Step 6: Final answer
    x = 1,650.74

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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.