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Finding the Fourth Proportional to 4,219.80, 6,329.10 and 1,298.40

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Solution

The fourth proportional to 4,219.80, 6,329.10 and 1,298.40 is: 1,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.80 : 6,329.10 = 1,298.40 : x
  2. Step 2: Convert to fraction form
    4,219.80/6,329.10 = 1,298.40/x
  3. Step 3: Cross multiply
    4,219.80x = 6,329.10 × 1,298.40
  4. Step 4: Simplify right side
    4,219.80x = 8,217,703.44
  5. Step 5: Solve for x
    x = 8,217,703.44/4,219.80
  6. Step 6: Final answer
    x = 1,947.42

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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.