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Finding the Fourth Proportional to 2,536.30, 3,509.67 and 2,162.68

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Solution

The fourth proportional to 2,536.30, 3,509.67 and 2,162.68 is: 2,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.30 : 3,509.67 = 2,162.68 : x
  2. Step 2: Convert to fraction form
    2,536.30/3,509.67 = 2,162.68/x
  3. Step 3: Cross multiply
    2,536.30x = 3,509.67 × 2,162.68
  4. Step 4: Simplify right side
    2,536.30x = 7,590,293.12
  5. Step 5: Solve for x
    x = 7,590,293.12/2,536.30
  6. Step 6: Final answer
    x = 2,992.66

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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.