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Finding the Fourth Proportional to 2,128.16, 3,191.46 and 741.14

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Solution

The fourth proportional to 2,128.16, 3,191.46 and 741.14 is: 1,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.16 : 3,191.46 = 741.14 : x
  2. Step 2: Convert to fraction form
    2,128.16/3,191.46 = 741.14/x
  3. Step 3: Cross multiply
    2,128.16x = 3,191.46 × 741.14
  4. Step 4: Simplify right side
    2,128.16x = 2,365,318.66
  5. Step 5: Solve for x
    x = 2,365,318.66/2,128.16
  6. Step 6: Final answer
    x = 1,111.44

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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.