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Finding the Fourth Proportional to 2,325.03, 3,211.38 and 1,738.17

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Solution

The fourth proportional to 2,325.03, 3,211.38 and 1,738.17 is: 2,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.03 : 3,211.38 = 1,738.17 : x
  2. Step 2: Convert to fraction form
    2,325.03/3,211.38 = 1,738.17/x
  3. Step 3: Cross multiply
    2,325.03x = 3,211.38 × 1,738.17
  4. Step 4: Simplify right side
    2,325.03x = 5,581,924.37
  5. Step 5: Solve for x
    x = 5,581,924.37/2,325.03
  6. Step 6: Final answer
    x = 2,400.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.