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Finding the Fourth Proportional to 1,429.39, 2,131.06 and 1,393.48

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Solution

The fourth proportional to 1,429.39, 2,131.06 and 1,393.48 is: 2,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.39 : 2,131.06 = 1,393.48 : x
  2. Step 2: Convert to fraction form
    1,429.39/2,131.06 = 1,393.48/x
  3. Step 3: Cross multiply
    1,429.39x = 2,131.06 × 1,393.48
  4. Step 4: Simplify right side
    1,429.39x = 2,969,589.49
  5. Step 5: Solve for x
    x = 2,969,589.49/1,429.39
  6. Step 6: Final answer
    x = 2,077.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.