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Finding the Fourth Proportional to 1,730.93, 2,596.37 and 635.27

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Solution

The fourth proportional to 1,730.93, 2,596.37 and 635.27 is: 952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.93 : 2,596.37 = 635.27 : x
  2. Step 2: Convert to fraction form
    1,730.93/2,596.37 = 635.27/x
  3. Step 3: Cross multiply
    1,730.93x = 2,596.37 × 635.27
  4. Step 4: Simplify right side
    1,730.93x = 1,649,379.81
  5. Step 5: Solve for x
    x = 1,649,379.81/1,730.93
  6. Step 6: Final answer
    x = 952.89

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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.