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Finding the Fourth Proportional to 1,982.96, 2,737.80 and 1,859.06

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Solution

The fourth proportional to 1,982.96, 2,737.80 and 1,859.06 is: 2,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.96 : 2,737.80 = 1,859.06 : x
  2. Step 2: Convert to fraction form
    1,982.96/2,737.80 = 1,859.06/x
  3. Step 3: Cross multiply
    1,982.96x = 2,737.80 × 1,859.06
  4. Step 4: Simplify right side
    1,982.96x = 5,089,734.47
  5. Step 5: Solve for x
    x = 5,089,734.47/1,982.96
  6. Step 6: Final answer
    x = 2,566.74

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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.