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Finding the Fourth Proportional to 2,111.33, 3,167.43 and 795.07

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Solution

The fourth proportional to 2,111.33, 3,167.43 and 795.07 is: 1,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.33 : 3,167.43 = 795.07 : x
  2. Step 2: Convert to fraction form
    2,111.33/3,167.43 = 795.07/x
  3. Step 3: Cross multiply
    2,111.33x = 3,167.43 × 795.07
  4. Step 4: Simplify right side
    2,111.33x = 2,518,313.97
  5. Step 5: Solve for x
    x = 2,518,313.97/2,111.33
  6. Step 6: Final answer
    x = 1,192.76

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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.