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Finding the Fourth Proportional to 1,739.28, 2,609.00 and 849.54

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Solution

The fourth proportional to 1,739.28, 2,609.00 and 849.54 is: 1,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.28 : 2,609.00 = 849.54 : x
  2. Step 2: Convert to fraction form
    1,739.28/2,609.00 = 849.54/x
  3. Step 3: Cross multiply
    1,739.28x = 2,609.00 × 849.54
  4. Step 4: Simplify right side
    1,739.28x = 2,216,438.94
  5. Step 5: Solve for x
    x = 2,216,438.94/1,739.28
  6. Step 6: Final answer
    x = 1,274.35

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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.