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Finding the Fourth Proportional to 1,832.54, 2,749.27 and 722.03

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Solution

The fourth proportional to 1,832.54, 2,749.27 and 722.03 is: 1,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.54 : 2,749.27 = 722.03 : x
  2. Step 2: Convert to fraction form
    1,832.54/2,749.27 = 722.03/x
  3. Step 3: Cross multiply
    1,832.54x = 2,749.27 × 722.03
  4. Step 4: Simplify right side
    1,832.54x = 1,985,051.81
  5. Step 5: Solve for x
    x = 1,985,051.81/1,832.54
  6. Step 6: Final answer
    x = 1,083.22

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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.