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Finding the Fourth Proportional to 1,346.67, 1,859.94 and 1,328.49

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Solution

The fourth proportional to 1,346.67, 1,859.94 and 1,328.49 is: 1,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.67 : 1,859.94 = 1,328.49 : x
  2. Step 2: Convert to fraction form
    1,346.67/1,859.94 = 1,328.49/x
  3. Step 3: Cross multiply
    1,346.67x = 1,859.94 × 1,328.49
  4. Step 4: Simplify right side
    1,346.67x = 2,470,911.69
  5. Step 5: Solve for x
    x = 2,470,911.69/1,346.67
  6. Step 6: Final answer
    x = 1,834.83

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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.