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Finding the Fourth Proportional to 2,635.55, 3,636.92 and 1,456.55

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Solution

The fourth proportional to 2,635.55, 3,636.92 and 1,456.55 is: 2,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.55 : 3,636.92 = 1,456.55 : x
  2. Step 2: Convert to fraction form
    2,635.55/3,636.92 = 1,456.55/x
  3. Step 3: Cross multiply
    2,635.55x = 3,636.92 × 1,456.55
  4. Step 4: Simplify right side
    2,635.55x = 5,297,368.56
  5. Step 5: Solve for x
    x = 5,297,368.56/2,635.55
  6. Step 6: Final answer
    x = 2,009.97

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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.