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Finding the Fourth Proportional to 1,400.86, 1,932.78 and 1,105.66

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Solution

The fourth proportional to 1,400.86, 1,932.78 and 1,105.66 is: 1,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.86 : 1,932.78 = 1,105.66 : x
  2. Step 2: Convert to fraction form
    1,400.86/1,932.78 = 1,105.66/x
  3. Step 3: Cross multiply
    1,400.86x = 1,932.78 × 1,105.66
  4. Step 4: Simplify right side
    1,400.86x = 2,136,997.53
  5. Step 5: Solve for x
    x = 2,136,997.53/1,400.86
  6. Step 6: Final answer
    x = 1,525.49

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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.