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Finding the Fourth Proportional to 1,716.11, 2,368.24 and 930.16

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Solution

The fourth proportional to 1,716.11, 2,368.24 and 930.16 is: 1,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.11 : 2,368.24 = 930.16 : x
  2. Step 2: Convert to fraction form
    1,716.11/2,368.24 = 930.16/x
  3. Step 3: Cross multiply
    1,716.11x = 2,368.24 × 930.16
  4. Step 4: Simplify right side
    1,716.11x = 2,202,833.87
  5. Step 5: Solve for x
    x = 2,202,833.87/1,716.11
  6. Step 6: Final answer
    x = 1,283.62

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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.