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Finding the Fourth Proportional to 1,433.71, 1,986.19 and 1,399.69

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Solution

The fourth proportional to 1,433.71, 1,986.19 and 1,399.69 is: 1,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.71 : 1,986.19 = 1,399.69 : x
  2. Step 2: Convert to fraction form
    1,433.71/1,986.19 = 1,399.69/x
  3. Step 3: Cross multiply
    1,433.71x = 1,986.19 × 1,399.69
  4. Step 4: Simplify right side
    1,433.71x = 2,780,050.28
  5. Step 5: Solve for x
    x = 2,780,050.28/1,433.71
  6. Step 6: Final answer
    x = 1,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.