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Finding the Fourth Proportional to 2,594.73, 3,580.62 and 1,532.83

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Solution

The fourth proportional to 2,594.73, 3,580.62 and 1,532.83 is: 2,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.73 : 3,580.62 = 1,532.83 : x
  2. Step 2: Convert to fraction form
    2,594.73/3,580.62 = 1,532.83/x
  3. Step 3: Cross multiply
    2,594.73x = 3,580.62 × 1,532.83
  4. Step 4: Simplify right side
    2,594.73x = 5,488,481.75
  5. Step 5: Solve for x
    x = 5,488,481.75/2,594.73
  6. Step 6: Final answer
    x = 2,115.24

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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.