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Finding the Fourth Proportional to 3,188.85, 4,782.40 and 2,017.09

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Solution

The fourth proportional to 3,188.85, 4,782.40 and 2,017.09 is: 3,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.85 : 4,782.40 = 2,017.09 : x
  2. Step 2: Convert to fraction form
    3,188.85/4,782.40 = 2,017.09/x
  3. Step 3: Cross multiply
    3,188.85x = 4,782.40 × 2,017.09
  4. Step 4: Simplify right side
    3,188.85x = 9,646,519.26
  5. Step 5: Solve for x
    x = 9,646,519.26/3,188.85
  6. Step 6: Final answer
    x = 3,025.08

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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.