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Finding the Fourth Proportional to 2,151.48, 3,226.56 and 690.24

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Solution

The fourth proportional to 2,151.48, 3,226.56 and 690.24 is: 1,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.48 : 3,226.56 = 690.24 : x
  2. Step 2: Convert to fraction form
    2,151.48/3,226.56 = 690.24/x
  3. Step 3: Cross multiply
    2,151.48x = 3,226.56 × 690.24
  4. Step 4: Simplify right side
    2,151.48x = 2,227,100.77
  5. Step 5: Solve for x
    x = 2,227,100.77/2,151.48
  6. Step 6: Final answer
    x = 1,035.15

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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.