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Finding the Fourth Proportional to 1,767.97, 2,434.23 and 1,501.84

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Solution

The fourth proportional to 1,767.97, 2,434.23 and 1,501.84 is: 2,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.97 : 2,434.23 = 1,501.84 : x
  2. Step 2: Convert to fraction form
    1,767.97/2,434.23 = 1,501.84/x
  3. Step 3: Cross multiply
    1,767.97x = 2,434.23 × 1,501.84
  4. Step 4: Simplify right side
    1,767.97x = 3,655,823.98
  5. Step 5: Solve for x
    x = 3,655,823.98/1,767.97
  6. Step 6: Final answer
    x = 2,067.81

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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.