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Finding the Fourth Proportional to 3,208.85, 4,813.41 and 1,017.67

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Solution

The fourth proportional to 3,208.85, 4,813.41 and 1,017.67 is: 1,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.85 : 4,813.41 = 1,017.67 : x
  2. Step 2: Convert to fraction form
    3,208.85/4,813.41 = 1,017.67/x
  3. Step 3: Cross multiply
    3,208.85x = 4,813.41 × 1,017.67
  4. Step 4: Simplify right side
    3,208.85x = 4,898,462.95
  5. Step 5: Solve for x
    x = 4,898,462.95/3,208.85
  6. Step 6: Final answer
    x = 1,526.55

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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.