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Finding the Fourth Proportional to 1,642.21, 2,266.23 and 943.59

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Solution

The fourth proportional to 1,642.21, 2,266.23 and 943.59 is: 1,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.21 : 2,266.23 = 943.59 : x
  2. Step 2: Convert to fraction form
    1,642.21/2,266.23 = 943.59/x
  3. Step 3: Cross multiply
    1,642.21x = 2,266.23 × 943.59
  4. Step 4: Simplify right side
    1,642.21x = 2,138,391.97
  5. Step 5: Solve for x
    x = 2,138,391.97/1,642.21
  6. Step 6: Final answer
    x = 1,302.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.