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Finding the Fourth Proportional to 2,483.58, 3,427.83 and 1,644.32

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Solution

The fourth proportional to 2,483.58, 3,427.83 and 1,644.32 is: 2,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.58 : 3,427.83 = 1,644.32 : x
  2. Step 2: Convert to fraction form
    2,483.58/3,427.83 = 1,644.32/x
  3. Step 3: Cross multiply
    2,483.58x = 3,427.83 × 1,644.32
  4. Step 4: Simplify right side
    2,483.58x = 5,636,441.20
  5. Step 5: Solve for x
    x = 5,636,441.20/2,483.58
  6. Step 6: Final answer
    x = 2,269.48

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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.