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Finding the Fourth Proportional to 2,151.25, 3,226.71 and 690.01

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Solution

The fourth proportional to 2,151.25, 3,226.71 and 690.01 is: 1,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.25 : 3,226.71 = 690.01 : x
  2. Step 2: Convert to fraction form
    2,151.25/3,226.71 = 690.01/x
  3. Step 3: Cross multiply
    2,151.25x = 3,226.71 × 690.01
  4. Step 4: Simplify right side
    2,151.25x = 2,226,446.03
  5. Step 5: Solve for x
    x = 2,226,446.03/2,151.25
  6. Step 6: Final answer
    x = 1,034.96

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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.