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Finding the Fourth Proportional to 2,853.81, 3,938.22 and 1,594.98

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Solution

The fourth proportional to 2,853.81, 3,938.22 and 1,594.98 is: 2,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.81 : 3,938.22 = 1,594.98 : x
  2. Step 2: Convert to fraction form
    2,853.81/3,938.22 = 1,594.98/x
  3. Step 3: Cross multiply
    2,853.81x = 3,938.22 × 1,594.98
  4. Step 4: Simplify right side
    2,853.81x = 6,281,382.14
  5. Step 5: Solve for x
    x = 6,281,382.14/2,853.81
  6. Step 6: Final answer
    x = 2,201.05

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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.