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Finding the Fourth Proportional to 1,426.99, 2,140.74 and 452.86

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Solution

The fourth proportional to 1,426.99, 2,140.74 and 452.86 is: 679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.99 : 2,140.74 = 452.86 : x
  2. Step 2: Convert to fraction form
    1,426.99/2,140.74 = 452.86/x
  3. Step 3: Cross multiply
    1,426.99x = 2,140.74 × 452.86
  4. Step 4: Simplify right side
    1,426.99x = 969,453.25
  5. Step 5: Solve for x
    x = 969,453.25/1,426.99
  6. Step 6: Final answer
    x = 679.37

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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.