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Finding the Fourth Proportional to 1,426.79, 2,140.14 and 452.87

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Solution

The fourth proportional to 1,426.79, 2,140.14 and 452.87 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.79 : 2,140.14 = 452.87 : x
  2. Step 2: Convert to fraction form
    1,426.79/2,140.14 = 452.87/x
  3. Step 3: Cross multiply
    1,426.79x = 2,140.14 × 452.87
  4. Step 4: Simplify right side
    1,426.79x = 969,194.50
  5. Step 5: Solve for x
    x = 969,194.50/1,426.79
  6. Step 6: Final answer
    x = 679.28

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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.