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Finding the Fourth Proportional to 2,628.41, 3,943.01 and 896.63

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Solution

The fourth proportional to 2,628.41, 3,943.01 and 896.63 is: 1,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.41 : 3,943.01 = 896.63 : x
  2. Step 2: Convert to fraction form
    2,628.41/3,943.01 = 896.63/x
  3. Step 3: Cross multiply
    2,628.41x = 3,943.01 × 896.63
  4. Step 4: Simplify right side
    2,628.41x = 3,535,403.58
  5. Step 5: Solve for x
    x = 3,535,403.58/2,628.41
  6. Step 6: Final answer
    x = 1,345.08

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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.