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Finding the Fourth Proportional to 2,155.29, 3,232.35 and 594.92

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Solution

The fourth proportional to 2,155.29, 3,232.35 and 594.92 is: 892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.29 : 3,232.35 = 594.92 : x
  2. Step 2: Convert to fraction form
    2,155.29/3,232.35 = 594.92/x
  3. Step 3: Cross multiply
    2,155.29x = 3,232.35 × 594.92
  4. Step 4: Simplify right side
    2,155.29x = 1,922,986.69
  5. Step 5: Solve for x
    x = 1,922,986.69/2,155.29
  6. Step 6: Final answer
    x = 892.22

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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.