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Finding the Fourth Proportional to 2,795.49, 3,857.79 and 1,536.53

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Solution

The fourth proportional to 2,795.49, 3,857.79 and 1,536.53 is: 2,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.49 : 3,857.79 = 1,536.53 : x
  2. Step 2: Convert to fraction form
    2,795.49/3,857.79 = 1,536.53/x
  3. Step 3: Cross multiply
    2,795.49x = 3,857.79 × 1,536.53
  4. Step 4: Simplify right side
    2,795.49x = 5,927,610.07
  5. Step 5: Solve for x
    x = 5,927,610.07/2,795.49
  6. Step 6: Final answer
    x = 2,120.42

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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.