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Finding the Fourth Proportional to 2,179.86, 3,005.30 and 1,733.22

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Solution

The fourth proportional to 2,179.86, 3,005.30 and 1,733.22 is: 2,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.86 : 3,005.30 = 1,733.22 : x
  2. Step 2: Convert to fraction form
    2,179.86/3,005.30 = 1,733.22/x
  3. Step 3: Cross multiply
    2,179.86x = 3,005.30 × 1,733.22
  4. Step 4: Simplify right side
    2,179.86x = 5,208,846.07
  5. Step 5: Solve for x
    x = 5,208,846.07/2,179.86
  6. Step 6: Final answer
    x = 2,389.53

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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.