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Finding the Fourth Proportional to 2,152.45, 3,226.58 and 920.17

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Solution

The fourth proportional to 2,152.45, 3,226.58 and 920.17 is: 1,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.45 : 3,226.58 = 920.17 : x
  2. Step 2: Convert to fraction form
    2,152.45/3,226.58 = 920.17/x
  3. Step 3: Cross multiply
    2,152.45x = 3,226.58 × 920.17
  4. Step 4: Simplify right side
    2,152.45x = 2,969,002.12
  5. Step 5: Solve for x
    x = 2,969,002.12/2,152.45
  6. Step 6: Final answer
    x = 1,379.36

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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.