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Finding the Fourth Proportional to 1,426.94, 2,140.68 and 453.14

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Solution

The fourth proportional to 1,426.94, 2,140.68 and 453.14 is: 679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.94 : 2,140.68 = 453.14 : x
  2. Step 2: Convert to fraction form
    1,426.94/2,140.68 = 453.14/x
  3. Step 3: Cross multiply
    1,426.94x = 2,140.68 × 453.14
  4. Step 4: Simplify right side
    1,426.94x = 970,027.74
  5. Step 5: Solve for x
    x = 970,027.74/1,426.94
  6. Step 6: Final answer
    x = 679.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.