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Finding the Fourth Proportional to 3,113.72, 4,296.91 and 1,697.48

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Solution

The fourth proportional to 3,113.72, 4,296.91 and 1,697.48 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.72 : 4,296.91 = 1,697.48 : x
  2. Step 2: Convert to fraction form
    3,113.72/4,296.91 = 1,697.48/x
  3. Step 3: Cross multiply
    3,113.72x = 4,296.91 × 1,697.48
  4. Step 4: Simplify right side
    3,113.72x = 7,293,918.79
  5. Step 5: Solve for x
    x = 7,293,918.79/3,113.72
  6. Step 6: Final answer
    x = 2,342.51

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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.