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Finding the Fourth Proportional to 2,693.44, 4,039.70 and 745.19

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Solution

The fourth proportional to 2,693.44, 4,039.70 and 745.19 is: 1,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.44 : 4,039.70 = 745.19 : x
  2. Step 2: Convert to fraction form
    2,693.44/4,039.70 = 745.19/x
  3. Step 3: Cross multiply
    2,693.44x = 4,039.70 × 745.19
  4. Step 4: Simplify right side
    2,693.44x = 3,010,335.81
  5. Step 5: Solve for x
    x = 3,010,335.81/2,693.44
  6. Step 6: Final answer
    x = 1,117.65

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Why These Related Problems?

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