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Finding the Fourth Proportional to 1,730.57, 2,596.79 and 1,144.13

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Solution

The fourth proportional to 1,730.57, 2,596.79 and 1,144.13 is: 1,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.57 : 2,596.79 = 1,144.13 : x
  2. Step 2: Convert to fraction form
    1,730.57/2,596.79 = 1,144.13/x
  3. Step 3: Cross multiply
    1,730.57x = 2,596.79 × 1,144.13
  4. Step 4: Simplify right side
    1,730.57x = 2,971,055.22
  5. Step 5: Solve for x
    x = 2,971,055.22/1,730.57
  6. Step 6: Final answer
    x = 1,716.81

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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.