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Finding the Fourth Proportional to 1,858.98, 2,563.74 and 1,664.58

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Solution

The fourth proportional to 1,858.98, 2,563.74 and 1,664.58 is: 2,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.98 : 2,563.74 = 1,664.58 : x
  2. Step 2: Convert to fraction form
    1,858.98/2,563.74 = 1,664.58/x
  3. Step 3: Cross multiply
    1,858.98x = 2,563.74 × 1,664.58
  4. Step 4: Simplify right side
    1,858.98x = 4,267,550.33
  5. Step 5: Solve for x
    x = 4,267,550.33/1,858.98
  6. Step 6: Final answer
    x = 2,295.64

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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.