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Finding the Fourth Proportional to 3,118.44, 4,673.61 and 1,267.40

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Solution

The fourth proportional to 3,118.44, 4,673.61 and 1,267.40 is: 1,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.44 : 4,673.61 = 1,267.40 : x
  2. Step 2: Convert to fraction form
    3,118.44/4,673.61 = 1,267.40/x
  3. Step 3: Cross multiply
    3,118.44x = 4,673.61 × 1,267.40
  4. Step 4: Simplify right side
    3,118.44x = 5,923,333.31
  5. Step 5: Solve for x
    x = 5,923,333.31/3,118.44
  6. Step 6: Final answer
    x = 1,899.45

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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.