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Finding the Fourth Proportional to 2,797.52, 4,190.81 and 2,145.06

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Solution

The fourth proportional to 2,797.52, 4,190.81 and 2,145.06 is: 3,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.52 : 4,190.81 = 2,145.06 : x
  2. Step 2: Convert to fraction form
    2,797.52/4,190.81 = 2,145.06/x
  3. Step 3: Cross multiply
    2,797.52x = 4,190.81 × 2,145.06
  4. Step 4: Simplify right side
    2,797.52x = 8,989,528.17
  5. Step 5: Solve for x
    x = 8,989,528.17/2,797.52
  6. Step 6: Final answer
    x = 3,213.40

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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.