Home / 1,761.57-2,642.40-941.43

Finding the Fourth Proportional to 1,761.57, 2,642.40 and 941.43

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Solution

The fourth proportional to 1,761.57, 2,642.40 and 941.43 is: 1,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.57 : 2,642.40 = 941.43 : x
  2. Step 2: Convert to fraction form
    1,761.57/2,642.40 = 941.43/x
  3. Step 3: Cross multiply
    1,761.57x = 2,642.40 × 941.43
  4. Step 4: Simplify right side
    1,761.57x = 2,487,634.63
  5. Step 5: Solve for x
    x = 2,487,634.63/1,761.57
  6. Step 6: Final answer
    x = 1,412.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.