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Finding the Fourth Proportional to 1,887.96, 2,833.74 and 1,158.96

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Solution

The fourth proportional to 1,887.96, 2,833.74 and 1,158.96 is: 1,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.96 : 2,833.74 = 1,158.96 : x
  2. Step 2: Convert to fraction form
    1,887.96/2,833.74 = 1,158.96/x
  3. Step 3: Cross multiply
    1,887.96x = 2,833.74 × 1,158.96
  4. Step 4: Simplify right side
    1,887.96x = 3,284,191.31
  5. Step 5: Solve for x
    x = 3,284,191.31/1,887.96
  6. Step 6: Final answer
    x = 1,739.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.