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Finding the Fourth Proportional to 2,128.05, 3,191.06 and 741.22

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Solution

The fourth proportional to 2,128.05, 3,191.06 and 741.22 is: 1,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.05 : 3,191.06 = 741.22 : x
  2. Step 2: Convert to fraction form
    2,128.05/3,191.06 = 741.22/x
  3. Step 3: Cross multiply
    2,128.05x = 3,191.06 × 741.22
  4. Step 4: Simplify right side
    2,128.05x = 2,365,264.00
  5. Step 5: Solve for x
    x = 2,365,264.00/2,128.05
  6. Step 6: Final answer
    x = 1,111.47

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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.