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Finding the Fourth Proportional to 2,457.12, 3,679.95 and 1,797.34

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Solution

The fourth proportional to 2,457.12, 3,679.95 and 1,797.34 is: 2,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.12 : 3,679.95 = 1,797.34 : x
  2. Step 2: Convert to fraction form
    2,457.12/3,679.95 = 1,797.34/x
  3. Step 3: Cross multiply
    2,457.12x = 3,679.95 × 1,797.34
  4. Step 4: Simplify right side
    2,457.12x = 6,614,121.33
  5. Step 5: Solve for x
    x = 6,614,121.33/2,457.12
  6. Step 6: Final answer
    x = 2,691.82

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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.