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Finding the Fourth Proportional to 1,719.14, 2,372.42 and 933.19

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Solution

The fourth proportional to 1,719.14, 2,372.42 and 933.19 is: 1,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.14 : 2,372.42 = 933.19 : x
  2. Step 2: Convert to fraction form
    1,719.14/2,372.42 = 933.19/x
  3. Step 3: Cross multiply
    1,719.14x = 2,372.42 × 933.19
  4. Step 4: Simplify right side
    1,719.14x = 2,213,918.62
  5. Step 5: Solve for x
    x = 2,213,918.62/1,719.14
  6. Step 6: Final answer
    x = 1,287.81

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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.