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Finding the Fourth Proportional to 1,619, 2,428.91 and 464.75

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Solution

The fourth proportional to 1,619, 2,428.91 and 464.75 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619 : 2,428.91 = 464.75 : x
  2. Step 2: Convert to fraction form
    1,619/2,428.91 = 464.75/x
  3. Step 3: Cross multiply
    1,619x = 2,428.91 × 464.75
  4. Step 4: Simplify right side
    1,619x = 1,128,835.92
  5. Step 5: Solve for x
    x = 1,128,835.92/1,619
  6. Step 6: Final answer
    x = 697.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.