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Finding the Fourth Proportional to 2,155.14, 3,232.71 and 595.16

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Solution

The fourth proportional to 2,155.14, 3,232.71 and 595.16 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.14 : 3,232.71 = 595.16 : x
  2. Step 2: Convert to fraction form
    2,155.14/3,232.71 = 595.16/x
  3. Step 3: Cross multiply
    2,155.14x = 3,232.71 × 595.16
  4. Step 4: Simplify right side
    2,155.14x = 1,923,963.52
  5. Step 5: Solve for x
    x = 1,923,963.52/2,155.14
  6. Step 6: Final answer
    x = 892.73

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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.