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Finding the Fourth Proportional to 1,941.16, 2,912.44 and 953.87

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Solution

The fourth proportional to 1,941.16, 2,912.44 and 953.87 is: 1,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.16 : 2,912.44 = 953.87 : x
  2. Step 2: Convert to fraction form
    1,941.16/2,912.44 = 953.87/x
  3. Step 3: Cross multiply
    1,941.16x = 2,912.44 × 953.87
  4. Step 4: Simplify right side
    1,941.16x = 2,778,072.20
  5. Step 5: Solve for x
    x = 2,778,072.20/1,941.16
  6. Step 6: Final answer
    x = 1,431.14

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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.