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Finding the Fourth Proportional to 2,026.86, 3,041.72 and 728.52

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Solution

The fourth proportional to 2,026.86, 3,041.72 and 728.52 is: 1,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.86 : 3,041.72 = 728.52 : x
  2. Step 2: Convert to fraction form
    2,026.86/3,041.72 = 728.52/x
  3. Step 3: Cross multiply
    2,026.86x = 3,041.72 × 728.52
  4. Step 4: Simplify right side
    2,026.86x = 2,215,953.85
  5. Step 5: Solve for x
    x = 2,215,953.85/2,026.86
  6. Step 6: Final answer
    x = 1,093.29

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