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Finding the Fourth Proportional to 2,889.30, 4,334.16 and 941.42

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Solution

The fourth proportional to 2,889.30, 4,334.16 and 941.42 is: 1,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.30 : 4,334.16 = 941.42 : x
  2. Step 2: Convert to fraction form
    2,889.30/4,334.16 = 941.42/x
  3. Step 3: Cross multiply
    2,889.30x = 4,334.16 × 941.42
  4. Step 4: Simplify right side
    2,889.30x = 4,080,264.91
  5. Step 5: Solve for x
    x = 4,080,264.91/2,889.30
  6. Step 6: Final answer
    x = 1,412.20

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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.