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Finding the Fourth Proportional to 2,953.71, 4,430.03 and 1,198.29

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Solution

The fourth proportional to 2,953.71, 4,430.03 and 1,198.29 is: 1,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.71 : 4,430.03 = 1,198.29 : x
  2. Step 2: Convert to fraction form
    2,953.71/4,430.03 = 1,198.29/x
  3. Step 3: Cross multiply
    2,953.71x = 4,430.03 × 1,198.29
  4. Step 4: Simplify right side
    2,953.71x = 5,308,454.66
  5. Step 5: Solve for x
    x = 5,308,454.66/2,953.71
  6. Step 6: Final answer
    x = 1,797.22

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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.