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Finding the Fourth Proportional to 2,889.79, 4,333.75 and 941.54

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Solution

The fourth proportional to 2,889.79, 4,333.75 and 941.54 is: 1,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.79 : 4,333.75 = 941.54 : x
  2. Step 2: Convert to fraction form
    2,889.79/4,333.75 = 941.54/x
  3. Step 3: Cross multiply
    2,889.79x = 4,333.75 × 941.54
  4. Step 4: Simplify right side
    2,889.79x = 4,080,374.95
  5. Step 5: Solve for x
    x = 4,080,374.95/2,889.79
  6. Step 6: Final answer
    x = 1,412.00

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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.