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Finding the Fourth Proportional to 2,151.60, 3,226.44 and 612.24

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Solution

The fourth proportional to 2,151.60, 3,226.44 and 612.24 is: 918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.60 : 3,226.44 = 612.24 : x
  2. Step 2: Convert to fraction form
    2,151.60/3,226.44 = 612.24/x
  3. Step 3: Cross multiply
    2,151.60x = 3,226.44 × 612.24
  4. Step 4: Simplify right side
    2,151.60x = 1,975,355.63
  5. Step 5: Solve for x
    x = 1,975,355.63/2,151.60
  6. Step 6: Final answer
    x = 918.09

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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.