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Finding the Fourth Proportional to 2,152.44, 3,226.55 and 690.62

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Solution

The fourth proportional to 2,152.44, 3,226.55 and 690.62 is: 1,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.44 : 3,226.55 = 690.62 : x
  2. Step 2: Convert to fraction form
    2,152.44/3,226.55 = 690.62/x
  3. Step 3: Cross multiply
    2,152.44x = 3,226.55 × 690.62
  4. Step 4: Simplify right side
    2,152.44x = 2,228,300.38
  5. Step 5: Solve for x
    x = 2,228,300.38/2,152.44
  6. Step 6: Final answer
    x = 1,035.24

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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.