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Finding the Fourth Proportional to 2,746.26, 4,119.38 and 694.26

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Solution

The fourth proportional to 2,746.26, 4,119.38 and 694.26 is: 1,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.26 : 4,119.38 = 694.26 : x
  2. Step 2: Convert to fraction form
    2,746.26/4,119.38 = 694.26/x
  3. Step 3: Cross multiply
    2,746.26x = 4,119.38 × 694.26
  4. Step 4: Simplify right side
    2,746.26x = 2,859,920.76
  5. Step 5: Solve for x
    x = 2,859,920.76/2,746.26
  6. Step 6: Final answer
    x = 1,041.39

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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.