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Finding the Fourth Proportional to 3,114, 4,297.32 and 1,716.84

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Solution

The fourth proportional to 3,114, 4,297.32 and 1,716.84 is: 2,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 4,297.32 = 1,716.84 : x
  2. Step 2: Convert to fraction form
    3,114/4,297.32 = 1,716.84/x
  3. Step 3: Cross multiply
    3,114x = 4,297.32 × 1,716.84
  4. Step 4: Simplify right side
    3,114x = 7,377,810.87
  5. Step 5: Solve for x
    x = 7,377,810.87/3,114
  6. Step 6: Final answer
    x = 2,369.24

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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.