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Finding the Fourth Proportional to 2,635.34, 3,953.54 and 1,814.00

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Solution

The fourth proportional to 2,635.34, 3,953.54 and 1,814.00 is: 2,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.34 : 3,953.54 = 1,814.00 : x
  2. Step 2: Convert to fraction form
    2,635.34/3,953.54 = 1,814.00/x
  3. Step 3: Cross multiply
    2,635.34x = 3,953.54 × 1,814.00
  4. Step 4: Simplify right side
    2,635.34x = 7,171,706.33
  5. Step 5: Solve for x
    x = 7,171,706.33/2,635.34
  6. Step 6: Final answer
    x = 2,721.36

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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.