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Finding the Fourth Proportional to 3,208.67, 4,813.14 and 1,017.35

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Solution

The fourth proportional to 3,208.67, 4,813.14 and 1,017.35 is: 1,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.67 : 4,813.14 = 1,017.35 : x
  2. Step 2: Convert to fraction form
    3,208.67/4,813.14 = 1,017.35/x
  3. Step 3: Cross multiply
    3,208.67x = 4,813.14 × 1,017.35
  4. Step 4: Simplify right side
    3,208.67x = 4,896,647.98
  5. Step 5: Solve for x
    x = 4,896,647.98/3,208.67
  6. Step 6: Final answer
    x = 1,526.07

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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.