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Finding the Fourth Proportional to 1,641.24, 2,265.30 and 943.02

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Solution

The fourth proportional to 1,641.24, 2,265.30 and 943.02 is: 1,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.24 : 2,265.30 = 943.02 : x
  2. Step 2: Convert to fraction form
    1,641.24/2,265.30 = 943.02/x
  3. Step 3: Cross multiply
    1,641.24x = 2,265.30 × 943.02
  4. Step 4: Simplify right side
    1,641.24x = 2,136,223.21
  5. Step 5: Solve for x
    x = 2,136,223.21/1,641.24
  6. Step 6: Final answer
    x = 1,301.59

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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.