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Finding the Fourth Proportional to 2,154.94, 3,232.62 and 595.05

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Solution

The fourth proportional to 2,154.94, 3,232.62 and 595.05 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.94 : 3,232.62 = 595.05 : x
  2. Step 2: Convert to fraction form
    2,154.94/3,232.62 = 595.05/x
  3. Step 3: Cross multiply
    2,154.94x = 3,232.62 × 595.05
  4. Step 4: Simplify right side
    2,154.94x = 1,923,568.30
  5. Step 5: Solve for x
    x = 1,923,568.30/2,154.94
  6. Step 6: Final answer
    x = 892.63

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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.