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Finding the Fourth Proportional to 1,954.24, 2,696.16 and 1,197.76

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Solution

The fourth proportional to 1,954.24, 2,696.16 and 1,197.76 is: 1,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.24 : 2,696.16 = 1,197.76 : x
  2. Step 2: Convert to fraction form
    1,954.24/2,696.16 = 1,197.76/x
  3. Step 3: Cross multiply
    1,954.24x = 2,696.16 × 1,197.76
  4. Step 4: Simplify right side
    1,954.24x = 3,229,352.60
  5. Step 5: Solve for x
    x = 3,229,352.60/1,954.24
  6. Step 6: Final answer
    x = 1,652.49

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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.