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Finding the Fourth Proportional to 1,826.34, 2,739.07 and 730.41

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Solution

The fourth proportional to 1,826.34, 2,739.07 and 730.41 is: 1,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.34 : 2,739.07 = 730.41 : x
  2. Step 2: Convert to fraction form
    1,826.34/2,739.07 = 730.41/x
  3. Step 3: Cross multiply
    1,826.34x = 2,739.07 × 730.41
  4. Step 4: Simplify right side
    1,826.34x = 2,000,644.12
  5. Step 5: Solve for x
    x = 2,000,644.12/1,826.34
  6. Step 6: Final answer
    x = 1,095.44

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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.