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Finding the Fourth Proportional to 1,426.63, 2,140.07 and 439.42

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Solution

The fourth proportional to 1,426.63, 2,140.07 and 439.42 is: 659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.63 : 2,140.07 = 439.42 : x
  2. Step 2: Convert to fraction form
    1,426.63/2,140.07 = 439.42/x
  3. Step 3: Cross multiply
    1,426.63x = 2,140.07 × 439.42
  4. Step 4: Simplify right side
    1,426.63x = 940,389.56
  5. Step 5: Solve for x
    x = 940,389.56/1,426.63
  6. Step 6: Final answer
    x = 659.17

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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.