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Finding the Fourth Proportional to 1,426.31, 2,139.47 and 400.31

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Solution

The fourth proportional to 1,426.31, 2,139.47 and 400.31 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.31 : 2,139.47 = 400.31 : x
  2. Step 2: Convert to fraction form
    1,426.31/2,139.47 = 400.31/x
  3. Step 3: Cross multiply
    1,426.31x = 2,139.47 × 400.31
  4. Step 4: Simplify right side
    1,426.31x = 856,457.59
  5. Step 5: Solve for x
    x = 856,457.59/1,426.31
  6. Step 6: Final answer
    x = 600.47

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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.