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Finding the Fourth Proportional to 2,944.75, 4,065.76 and 1,826.14

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Solution

The fourth proportional to 2,944.75, 4,065.76 and 1,826.14 is: 2,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.75 : 4,065.76 = 1,826.14 : x
  2. Step 2: Convert to fraction form
    2,944.75/4,065.76 = 1,826.14/x
  3. Step 3: Cross multiply
    2,944.75x = 4,065.76 × 1,826.14
  4. Step 4: Simplify right side
    2,944.75x = 7,424,626.64
  5. Step 5: Solve for x
    x = 7,424,626.64/2,944.75
  6. Step 6: Final answer
    x = 2,521.31

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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.