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Finding the Fourth Proportional to 2,457.36, 3,394.47 and 1,963.46

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Solution

The fourth proportional to 2,457.36, 3,394.47 and 1,963.46 is: 2,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.36 : 3,394.47 = 1,963.46 : x
  2. Step 2: Convert to fraction form
    2,457.36/3,394.47 = 1,963.46/x
  3. Step 3: Cross multiply
    2,457.36x = 3,394.47 × 1,963.46
  4. Step 4: Simplify right side
    2,457.36x = 6,664,921.92
  5. Step 5: Solve for x
    x = 6,664,921.92/2,457.36
  6. Step 6: Final answer
    x = 2,712.23

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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.