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Finding the Fourth Proportional to 3,154.67, 4,352.50 and 1,828.33

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Solution

The fourth proportional to 3,154.67, 4,352.50 and 1,828.33 is: 2,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.67 : 4,352.50 = 1,828.33 : x
  2. Step 2: Convert to fraction form
    3,154.67/4,352.50 = 1,828.33/x
  3. Step 3: Cross multiply
    3,154.67x = 4,352.50 × 1,828.33
  4. Step 4: Simplify right side
    3,154.67x = 7,957,806.33
  5. Step 5: Solve for x
    x = 7,957,806.33/3,154.67
  6. Step 6: Final answer
    x = 2,522.55

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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.