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Finding the Fourth Proportional to 1,642.02, 2,265.75 and 943.26

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Solution

The fourth proportional to 1,642.02, 2,265.75 and 943.26 is: 1,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.02 : 2,265.75 = 943.26 : x
  2. Step 2: Convert to fraction form
    1,642.02/2,265.75 = 943.26/x
  3. Step 3: Cross multiply
    1,642.02x = 2,265.75 × 943.26
  4. Step 4: Simplify right side
    1,642.02x = 2,137,191.35
  5. Step 5: Solve for x
    x = 2,137,191.35/1,642.02
  6. Step 6: Final answer
    x = 1,301.56

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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.