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Finding the Fourth Proportional to 3,069.14, 4,235.49 and 1,890.98

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Solution

The fourth proportional to 3,069.14, 4,235.49 and 1,890.98 is: 2,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.14 : 4,235.49 = 1,890.98 : x
  2. Step 2: Convert to fraction form
    3,069.14/4,235.49 = 1,890.98/x
  3. Step 3: Cross multiply
    3,069.14x = 4,235.49 × 1,890.98
  4. Step 4: Simplify right side
    3,069.14x = 8,009,226.88
  5. Step 5: Solve for x
    x = 8,009,226.88/3,069.14
  6. Step 6: Final answer
    x = 2,609.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.