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Finding the Fourth Proportional to 1,619.52, 2,430.36 and 798.36

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Solution

The fourth proportional to 1,619.52, 2,430.36 and 798.36 is: 1,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.52 : 2,430.36 = 798.36 : x
  2. Step 2: Convert to fraction form
    1,619.52/2,430.36 = 798.36/x
  3. Step 3: Cross multiply
    1,619.52x = 2,430.36 × 798.36
  4. Step 4: Simplify right side
    1,619.52x = 1,940,302.21
  5. Step 5: Solve for x
    x = 1,940,302.21/1,619.52
  6. Step 6: Final answer
    x = 1,198.07

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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.