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Finding the Fourth Proportional to 1,243.86, 1,707.36 and 1,100.86

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Solution

The fourth proportional to 1,243.86, 1,707.36 and 1,100.86 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.86 : 1,707.36 = 1,100.86 : x
  2. Step 2: Convert to fraction form
    1,243.86/1,707.36 = 1,100.86/x
  3. Step 3: Cross multiply
    1,243.86x = 1,707.36 × 1,100.86
  4. Step 4: Simplify right side
    1,243.86x = 1,879,562.13
  5. Step 5: Solve for x
    x = 1,879,562.13/1,243.86
  6. Step 6: Final answer
    x = 1,511.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.