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Finding the Fourth Proportional to 2,151.21, 3,224.52 and 917.99

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Solution

The fourth proportional to 2,151.21, 3,224.52 and 917.99 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.21 : 3,224.52 = 917.99 : x
  2. Step 2: Convert to fraction form
    2,151.21/3,224.52 = 917.99/x
  3. Step 3: Cross multiply
    2,151.21x = 3,224.52 × 917.99
  4. Step 4: Simplify right side
    2,151.21x = 2,960,077.11
  5. Step 5: Solve for x
    x = 2,960,077.11/2,151.21
  6. Step 6: Final answer
    x = 1,376.01

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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.