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Finding the Fourth Proportional to 2,739.69, 4,111.16 and 1,009.53

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Solution

The fourth proportional to 2,739.69, 4,111.16 and 1,009.53 is: 1,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.69 : 4,111.16 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    2,739.69/4,111.16 = 1,009.53/x
  3. Step 3: Cross multiply
    2,739.69x = 4,111.16 × 1,009.53
  4. Step 4: Simplify right side
    2,739.69x = 4,150,334.31
  5. Step 5: Solve for x
    x = 4,150,334.31/2,739.69
  6. Step 6: Final answer
    x = 1,514.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.