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Finding the Fourth Proportional to 2,853.81, 3,937.86 and 1,594.71

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Solution

The fourth proportional to 2,853.81, 3,937.86 and 1,594.71 is: 2,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.81 : 3,937.86 = 1,594.71 : x
  2. Step 2: Convert to fraction form
    2,853.81/3,937.86 = 1,594.71/x
  3. Step 3: Cross multiply
    2,853.81x = 3,937.86 × 1,594.71
  4. Step 4: Simplify right side
    2,853.81x = 6,279,744.72
  5. Step 5: Solve for x
    x = 6,279,744.72/2,853.81
  6. Step 6: Final answer
    x = 2,200.48

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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.