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Finding the Fourth Proportional to 2,795.85, 3,858.09 and 1,536.66

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Solution

The fourth proportional to 2,795.85, 3,858.09 and 1,536.66 is: 2,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.85 : 3,858.09 = 1,536.66 : x
  2. Step 2: Convert to fraction form
    2,795.85/3,858.09 = 1,536.66/x
  3. Step 3: Cross multiply
    2,795.85x = 3,858.09 × 1,536.66
  4. Step 4: Simplify right side
    2,795.85x = 5,928,572.58
  5. Step 5: Solve for x
    x = 5,928,572.58/2,795.85
  6. Step 6: Final answer
    x = 2,120.49

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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.