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Finding the Fourth Proportional to 2,643.44, 3,648.24 and 1,846.26

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Solution

The fourth proportional to 2,643.44, 3,648.24 and 1,846.26 is: 2,548.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.44 : 3,648.24 = 1,846.26 : x
  2. Step 2: Convert to fraction form
    2,643.44/3,648.24 = 1,846.26/x
  3. Step 3: Cross multiply
    2,643.44x = 3,648.24 × 1,846.26
  4. Step 4: Simplify right side
    2,643.44x = 6,735,599.58
  5. Step 5: Solve for x
    x = 6,735,599.58/2,643.44
  6. Step 6: Final answer
    x = 2,548.05

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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.