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Finding the Fourth Proportional to 4,219.83, 6,331.83 and 2,030.40

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Solution

The fourth proportional to 4,219.83, 6,331.83 and 2,030.40 is: 3,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.83 : 6,331.83 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    4,219.83/6,331.83 = 2,030.40/x
  3. Step 3: Cross multiply
    4,219.83x = 6,331.83 × 2,030.40
  4. Step 4: Simplify right side
    4,219.83x = 12,856,147.63
  5. Step 5: Solve for x
    x = 12,856,147.63/4,219.83
  6. Step 6: Final answer
    x = 3,046.60

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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.