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Finding the Fourth Proportional to 2,853.82, 4,281.33 and 905.98

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Solution

The fourth proportional to 2,853.82, 4,281.33 and 905.98 is: 1,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.82 : 4,281.33 = 905.98 : x
  2. Step 2: Convert to fraction form
    2,853.82/4,281.33 = 905.98/x
  3. Step 3: Cross multiply
    2,853.82x = 4,281.33 × 905.98
  4. Step 4: Simplify right side
    2,853.82x = 3,878,799.35
  5. Step 5: Solve for x
    x = 3,878,799.35/2,853.82
  6. Step 6: Final answer
    x = 1,359.16

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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.