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Finding the Fourth Proportional to 2,348.70, 3,234.65 and 2,297.67

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Solution

The fourth proportional to 2,348.70, 3,234.65 and 2,297.67 is: 3,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.70 : 3,234.65 = 2,297.67 : x
  2. Step 2: Convert to fraction form
    2,348.70/3,234.65 = 2,297.67/x
  3. Step 3: Cross multiply
    2,348.70x = 3,234.65 × 2,297.67
  4. Step 4: Simplify right side
    2,348.70x = 7,432,146.78
  5. Step 5: Solve for x
    x = 7,432,146.78/2,348.70
  6. Step 6: Final answer
    x = 3,164.37

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