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Finding the Fourth Proportional to 1,739.63, 2,609.77 and 917.12

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Solution

The fourth proportional to 1,739.63, 2,609.77 and 917.12 is: 1,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.63 : 2,609.77 = 917.12 : x
  2. Step 2: Convert to fraction form
    1,739.63/2,609.77 = 917.12/x
  3. Step 3: Cross multiply
    1,739.63x = 2,609.77 × 917.12
  4. Step 4: Simplify right side
    1,739.63x = 2,393,478.21
  5. Step 5: Solve for x
    x = 2,393,478.21/1,739.63
  6. Step 6: Final answer
    x = 1,375.86

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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.