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Finding the Fourth Proportional to 1,426.12, 2,139.06 and 400.12

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Solution

The fourth proportional to 1,426.12, 2,139.06 and 400.12 is: 600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.12 : 2,139.06 = 400.12 : x
  2. Step 2: Convert to fraction form
    1,426.12/2,139.06 = 400.12/x
  3. Step 3: Cross multiply
    1,426.12x = 2,139.06 × 400.12
  4. Step 4: Simplify right side
    1,426.12x = 855,880.69
  5. Step 5: Solve for x
    x = 855,880.69/1,426.12
  6. Step 6: Final answer
    x = 600.15

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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.