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Finding the Fourth Proportional to 1,832.09, 2,749.48 and 1,139.77

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Solution

The fourth proportional to 1,832.09, 2,749.48 and 1,139.77 is: 1,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.09 : 2,749.48 = 1,139.77 : x
  2. Step 2: Convert to fraction form
    1,832.09/2,749.48 = 1,139.77/x
  3. Step 3: Cross multiply
    1,832.09x = 2,749.48 × 1,139.77
  4. Step 4: Simplify right side
    1,832.09x = 3,133,775.41
  5. Step 5: Solve for x
    x = 3,133,775.41/1,832.09
  6. Step 6: Final answer
    x = 1,710.50

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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.