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Finding the Fourth Proportional to 3,114.29, 4,297.77 and 1,697.99

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Solution

The fourth proportional to 3,114.29, 4,297.77 and 1,697.99 is: 2,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.29 : 4,297.77 = 1,697.99 : x
  2. Step 2: Convert to fraction form
    3,114.29/4,297.77 = 1,697.99/x
  3. Step 3: Cross multiply
    3,114.29x = 4,297.77 × 1,697.99
  4. Step 4: Simplify right side
    3,114.29x = 7,297,548.99
  5. Step 5: Solve for x
    x = 7,297,548.99/3,114.29
  6. Step 6: Final answer
    x = 2,343.25

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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.