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Finding the Fourth Proportional to 1,739.17, 2,609.17 and 506.61

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Solution

The fourth proportional to 1,739.17, 2,609.17 and 506.61 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.17 : 2,609.17 = 506.61 : x
  2. Step 2: Convert to fraction form
    1,739.17/2,609.17 = 506.61/x
  3. Step 3: Cross multiply
    1,739.17x = 2,609.17 × 506.61
  4. Step 4: Simplify right side
    1,739.17x = 1,321,831.61
  5. Step 5: Solve for x
    x = 1,321,831.61/1,739.17
  6. Step 6: Final answer
    x = 760.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.