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Finding the Fourth Proportional to 2,782.74, 3,841.27 and 1,899.03

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Solution

The fourth proportional to 2,782.74, 3,841.27 and 1,899.03 is: 2,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.74 : 3,841.27 = 1,899.03 : x
  2. Step 2: Convert to fraction form
    2,782.74/3,841.27 = 1,899.03/x
  3. Step 3: Cross multiply
    2,782.74x = 3,841.27 × 1,899.03
  4. Step 4: Simplify right side
    2,782.74x = 7,294,686.97
  5. Step 5: Solve for x
    x = 7,294,686.97/2,782.74
  6. Step 6: Final answer
    x = 2,621.40

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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.