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Finding the Fourth Proportional to 1,711.24, 2,361.22 and 1,012.84

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Solution

The fourth proportional to 1,711.24, 2,361.22 and 1,012.84 is: 1,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.24 : 2,361.22 = 1,012.84 : x
  2. Step 2: Convert to fraction form
    1,711.24/2,361.22 = 1,012.84/x
  3. Step 3: Cross multiply
    1,711.24x = 2,361.22 × 1,012.84
  4. Step 4: Simplify right side
    1,711.24x = 2,391,538.06
  5. Step 5: Solve for x
    x = 2,391,538.06/1,711.24
  6. Step 6: Final answer
    x = 1,397.55

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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.