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Finding the Fourth Proportional to 1,944.24, 2,916.51 and 957.58

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Solution

The fourth proportional to 1,944.24, 2,916.51 and 957.58 is: 1,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.24 : 2,916.51 = 957.58 : x
  2. Step 2: Convert to fraction form
    1,944.24/2,916.51 = 957.58/x
  3. Step 3: Cross multiply
    1,944.24x = 2,916.51 × 957.58
  4. Step 4: Simplify right side
    1,944.24x = 2,792,791.65
  5. Step 5: Solve for x
    x = 2,792,791.65/1,944.24
  6. Step 6: Final answer
    x = 1,436.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.