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Finding the Fourth Proportional to 2,128.10, 3,192.49 and 741.06

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Solution

The fourth proportional to 2,128.10, 3,192.49 and 741.06 is: 1,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.10 : 3,192.49 = 741.06 : x
  2. Step 2: Convert to fraction form
    2,128.10/3,192.49 = 741.06/x
  3. Step 3: Cross multiply
    2,128.10x = 3,192.49 × 741.06
  4. Step 4: Simplify right side
    2,128.10x = 2,365,826.64
  5. Step 5: Solve for x
    x = 2,365,826.64/2,128.10
  6. Step 6: Final answer
    x = 1,111.71

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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.