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Finding the Fourth Proportional to 2,635.22, 3,636.47 and 1,456.22

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Solution

The fourth proportional to 2,635.22, 3,636.47 and 1,456.22 is: 2,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.22 : 3,636.47 = 1,456.22 : x
  2. Step 2: Convert to fraction form
    2,635.22/3,636.47 = 1,456.22/x
  3. Step 3: Cross multiply
    2,635.22x = 3,636.47 × 1,456.22
  4. Step 4: Simplify right side
    2,635.22x = 5,295,502.15
  5. Step 5: Solve for x
    x = 5,295,502.15/2,635.22
  6. Step 6: Final answer
    x = 2,009.51

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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.