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Finding the Fourth Proportional to 2,825.94, 3,900.52 and 1,883.31

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Solution

The fourth proportional to 2,825.94, 3,900.52 and 1,883.31 is: 2,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.94 : 3,900.52 = 1,883.31 : x
  2. Step 2: Convert to fraction form
    2,825.94/3,900.52 = 1,883.31/x
  3. Step 3: Cross multiply
    2,825.94x = 3,900.52 × 1,883.31
  4. Step 4: Simplify right side
    2,825.94x = 7,345,888.32
  5. Step 5: Solve for x
    x = 7,345,888.32/2,825.94
  6. Step 6: Final answer
    x = 2,599.45

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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.