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Finding the Fourth Proportional to 1,739.09, 2,400.32 and 1,109.47

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Solution

The fourth proportional to 1,739.09, 2,400.32 and 1,109.47 is: 1,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.09 : 2,400.32 = 1,109.47 : x
  2. Step 2: Convert to fraction form
    1,739.09/2,400.32 = 1,109.47/x
  3. Step 3: Cross multiply
    1,739.09x = 2,400.32 × 1,109.47
  4. Step 4: Simplify right side
    1,739.09x = 2,663,083.03
  5. Step 5: Solve for x
    x = 2,663,083.03/1,739.09
  6. Step 6: Final answer
    x = 1,531.31

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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.