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Finding the Fourth Proportional to 2,063.63, 2,853.21 and 1,971.83

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Solution

The fourth proportional to 2,063.63, 2,853.21 and 1,971.83 is: 2,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.63 : 2,853.21 = 1,971.83 : x
  2. Step 2: Convert to fraction form
    2,063.63/2,853.21 = 1,971.83/x
  3. Step 3: Cross multiply
    2,063.63x = 2,853.21 × 1,971.83
  4. Step 4: Simplify right side
    2,063.63x = 5,626,030.81
  5. Step 5: Solve for x
    x = 5,626,030.81/2,063.63
  6. Step 6: Final answer
    x = 2,726.29

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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.