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Finding the Fourth Proportional to 2,154.90, 3,232.41 and 595.02

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Solution

The fourth proportional to 2,154.90, 3,232.41 and 595.02 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.90 : 3,232.41 = 595.02 : x
  2. Step 2: Convert to fraction form
    2,154.90/3,232.41 = 595.02/x
  3. Step 3: Cross multiply
    2,154.90x = 3,232.41 × 595.02
  4. Step 4: Simplify right side
    2,154.90x = 1,923,333.92
  5. Step 5: Solve for x
    x = 1,923,333.92/2,154.90
  6. Step 6: Final answer
    x = 892.54

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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.