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Finding the Fourth Proportional to 2,046.94, 3,070.14 and 1,267.09

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Solution

The fourth proportional to 2,046.94, 3,070.14 and 1,267.09 is: 1,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 3,070.14 = 1,267.09 : x
  2. Step 2: Convert to fraction form
    2,046.94/3,070.14 = 1,267.09/x
  3. Step 3: Cross multiply
    2,046.94x = 3,070.14 × 1,267.09
  4. Step 4: Simplify right side
    2,046.94x = 3,890,143.69
  5. Step 5: Solve for x
    x = 3,890,143.69/2,046.94
  6. Step 6: Final answer
    x = 1,900.47

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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.