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Finding the Fourth Proportional to 2,594.96, 3,578.62 and 1,709.22

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Solution

The fourth proportional to 2,594.96, 3,578.62 and 1,709.22 is: 2,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.96 : 3,578.62 = 1,709.22 : x
  2. Step 2: Convert to fraction form
    2,594.96/3,578.62 = 1,709.22/x
  3. Step 3: Cross multiply
    2,594.96x = 3,578.62 × 1,709.22
  4. Step 4: Simplify right side
    2,594.96x = 6,116,640.33
  5. Step 5: Solve for x
    x = 6,116,640.33/2,594.96
  6. Step 6: Final answer
    x = 2,357.13

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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.