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Finding the Fourth Proportional to 1,930.72, 2,661.68 and 1,594.84

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Solution

The fourth proportional to 1,930.72, 2,661.68 and 1,594.84 is: 2,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.72 : 2,661.68 = 1,594.84 : x
  2. Step 2: Convert to fraction form
    1,930.72/2,661.68 = 1,594.84/x
  3. Step 3: Cross multiply
    1,930.72x = 2,661.68 × 1,594.84
  4. Step 4: Simplify right side
    1,930.72x = 4,244,953.73
  5. Step 5: Solve for x
    x = 4,244,953.73/1,930.72
  6. Step 6: Final answer
    x = 2,198.64

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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.