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Finding the Fourth Proportional to 1,426.82, 2,140.43 and 646.81

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Solution

The fourth proportional to 1,426.82, 2,140.43 and 646.81 is: 970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 2,140.43 = 646.81 : x
  2. Step 2: Convert to fraction form
    1,426.82/2,140.43 = 646.81/x
  3. Step 3: Cross multiply
    1,426.82x = 2,140.43 × 646.81
  4. Step 4: Simplify right side
    1,426.82x = 1,384,448.96
  5. Step 5: Solve for x
    x = 1,384,448.96/1,426.82
  6. Step 6: Final answer
    x = 970.31

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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.