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Finding the Fourth Proportional to 1,441.86, 1,987.92 and 1,106.14

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Solution

The fourth proportional to 1,441.86, 1,987.92 and 1,106.14 is: 1,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.86 : 1,987.92 = 1,106.14 : x
  2. Step 2: Convert to fraction form
    1,441.86/1,987.92 = 1,106.14/x
  3. Step 3: Cross multiply
    1,441.86x = 1,987.92 × 1,106.14
  4. Step 4: Simplify right side
    1,441.86x = 2,198,917.83
  5. Step 5: Solve for x
    x = 2,198,917.83/1,441.86
  6. Step 6: Final answer
    x = 1,525.06

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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.