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Finding the Fourth Proportional to 1,858.01, 2,563.16 and 1,194.62

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Solution

The fourth proportional to 1,858.01, 2,563.16 and 1,194.62 is: 1,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.01 : 2,563.16 = 1,194.62 : x
  2. Step 2: Convert to fraction form
    1,858.01/2,563.16 = 1,194.62/x
  3. Step 3: Cross multiply
    1,858.01x = 2,563.16 × 1,194.62
  4. Step 4: Simplify right side
    1,858.01x = 3,061,983.41
  5. Step 5: Solve for x
    x = 3,061,983.41/1,858.01
  6. Step 6: Final answer
    x = 1,648.00

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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.