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Finding the Fourth Proportional to 1,641.94, 2,265.87 and 943.31

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Solution

The fourth proportional to 1,641.94, 2,265.87 and 943.31 is: 1,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.94 : 2,265.87 = 943.31 : x
  2. Step 2: Convert to fraction form
    1,641.94/2,265.87 = 943.31/x
  3. Step 3: Cross multiply
    1,641.94x = 2,265.87 × 943.31
  4. Step 4: Simplify right side
    1,641.94x = 2,137,427.03
  5. Step 5: Solve for x
    x = 2,137,427.03/1,641.94
  6. Step 6: Final answer
    x = 1,301.77

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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.