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Finding the Fourth Proportional to 2,943.63, 4,062.26 and 1,617.32

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Solution

The fourth proportional to 2,943.63, 4,062.26 and 1,617.32 is: 2,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.63 : 4,062.26 = 1,617.32 : x
  2. Step 2: Convert to fraction form
    2,943.63/4,062.26 = 1,617.32/x
  3. Step 3: Cross multiply
    2,943.63x = 4,062.26 × 1,617.32
  4. Step 4: Simplify right side
    2,943.63x = 6,569,974.34
  5. Step 5: Solve for x
    x = 6,569,974.34/2,943.63
  6. Step 6: Final answer
    x = 2,231.93

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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.