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Finding the Fourth Proportional to 2,541.35, 3,812.06 and 896.75

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Solution

The fourth proportional to 2,541.35, 3,812.06 and 896.75 is: 1,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.35 : 3,812.06 = 896.75 : x
  2. Step 2: Convert to fraction form
    2,541.35/3,812.06 = 896.75/x
  3. Step 3: Cross multiply
    2,541.35x = 3,812.06 × 896.75
  4. Step 4: Simplify right side
    2,541.35x = 3,418,447.30
  5. Step 5: Solve for x
    x = 3,418,447.30/2,541.35
  6. Step 6: Final answer
    x = 1,345.13

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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.