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Finding the Fourth Proportional to 1,121.97, 1,681.18 and 947.82

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Solution

The fourth proportional to 1,121.97, 1,681.18 and 947.82 is: 1,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.97 : 1,681.18 = 947.82 : x
  2. Step 2: Convert to fraction form
    1,121.97/1,681.18 = 947.82/x
  3. Step 3: Cross multiply
    1,121.97x = 1,681.18 × 947.82
  4. Step 4: Simplify right side
    1,121.97x = 1,593,453.66
  5. Step 5: Solve for x
    x = 1,593,453.66/1,121.97
  6. Step 6: Final answer
    x = 1,420.23

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