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Finding the Fourth Proportional to 2,889.42, 4,334.58 and 941.17

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Solution

The fourth proportional to 2,889.42, 4,334.58 and 941.17 is: 1,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.42 : 4,334.58 = 941.17 : x
  2. Step 2: Convert to fraction form
    2,889.42/4,334.58 = 941.17/x
  3. Step 3: Cross multiply
    2,889.42x = 4,334.58 × 941.17
  4. Step 4: Simplify right side
    2,889.42x = 4,079,576.66
  5. Step 5: Solve for x
    x = 4,079,576.66/2,889.42
  6. Step 6: Final answer
    x = 1,411.90

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Why These Related Problems?

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