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Finding the Fourth Proportional to 1,434.59, 2,134.73 and 1,429.73

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Solution

The fourth proportional to 1,434.59, 2,134.73 and 1,429.73 is: 2,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.59 : 2,134.73 = 1,429.73 : x
  2. Step 2: Convert to fraction form
    1,434.59/2,134.73 = 1,429.73/x
  3. Step 3: Cross multiply
    1,434.59x = 2,134.73 × 1,429.73
  4. Step 4: Simplify right side
    1,434.59x = 3,052,069.70
  5. Step 5: Solve for x
    x = 3,052,069.70/1,434.59
  6. Step 6: Final answer
    x = 2,127.49

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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.