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Finding the Fourth Proportional to 2,027.94, 3,041.70 and 729.42

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Solution

The fourth proportional to 2,027.94, 3,041.70 and 729.42 is: 1,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.94 : 3,041.70 = 729.42 : x
  2. Step 2: Convert to fraction form
    2,027.94/3,041.70 = 729.42/x
  3. Step 3: Cross multiply
    2,027.94x = 3,041.70 × 729.42
  4. Step 4: Simplify right side
    2,027.94x = 2,218,676.81
  5. Step 5: Solve for x
    x = 2,218,676.81/2,027.94
  6. Step 6: Final answer
    x = 1,094.05

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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.