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Finding the Fourth Proportional to 2,797.16, 4,195.73 and 1,065.78

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Solution

The fourth proportional to 2,797.16, 4,195.73 and 1,065.78 is: 1,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.16 : 4,195.73 = 1,065.78 : x
  2. Step 2: Convert to fraction form
    2,797.16/4,195.73 = 1,065.78/x
  3. Step 3: Cross multiply
    2,797.16x = 4,195.73 × 1,065.78
  4. Step 4: Simplify right side
    2,797.16x = 4,471,727.78
  5. Step 5: Solve for x
    x = 4,471,727.78/2,797.16
  6. Step 6: Final answer
    x = 1,598.67

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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.