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Finding the Fourth Proportional to 3,208.35, 4,812.90 and 1,017.30

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Solution

The fourth proportional to 3,208.35, 4,812.90 and 1,017.30 is: 1,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.35 : 4,812.90 = 1,017.30 : x
  2. Step 2: Convert to fraction form
    3,208.35/4,812.90 = 1,017.30/x
  3. Step 3: Cross multiply
    3,208.35x = 4,812.90 × 1,017.30
  4. Step 4: Simplify right side
    3,208.35x = 4,896,163.17
  5. Step 5: Solve for x
    x = 4,896,163.17/3,208.35
  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.