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Finding the Fourth Proportional to 2,151.14, 3,226.72 and 591.08

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Solution

The fourth proportional to 2,151.14, 3,226.72 and 591.08 is: 886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.14 : 3,226.72 = 591.08 : x
  2. Step 2: Convert to fraction form
    2,151.14/3,226.72 = 591.08/x
  3. Step 3: Cross multiply
    2,151.14x = 3,226.72 × 591.08
  4. Step 4: Simplify right side
    2,151.14x = 1,907,267.41
  5. Step 5: Solve for x
    x = 1,907,267.41/2,151.14
  6. Step 6: Final answer
    x = 886.63

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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.