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Finding the Fourth Proportional to 2,052.54, 3,078.86 and 957.69

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Solution

The fourth proportional to 2,052.54, 3,078.86 and 957.69 is: 1,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.54 : 3,078.86 = 957.69 : x
  2. Step 2: Convert to fraction form
    2,052.54/3,078.86 = 957.69/x
  3. Step 3: Cross multiply
    2,052.54x = 3,078.86 × 957.69
  4. Step 4: Simplify right side
    2,052.54x = 2,948,588.64
  5. Step 5: Solve for x
    x = 2,948,588.64/2,052.54
  6. Step 6: Final answer
    x = 1,436.56

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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.