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Finding the Fourth Proportional to 1,426.86, 2,140.14 and 386.80

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Solution

The fourth proportional to 1,426.86, 2,140.14 and 386.80 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.86 : 2,140.14 = 386.80 : x
  2. Step 2: Convert to fraction form
    1,426.86/2,140.14 = 386.80/x
  3. Step 3: Cross multiply
    1,426.86x = 2,140.14 × 386.80
  4. Step 4: Simplify right side
    1,426.86x = 827,806.15
  5. Step 5: Solve for x
    x = 827,806.15/1,426.86
  6. Step 6: Final answer
    x = 580.16

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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.