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Finding the Fourth Proportional to 2,162.69, 2,984.51 and 1,231.19

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Solution

The fourth proportional to 2,162.69, 2,984.51 and 1,231.19 is: 1,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.69 : 2,984.51 = 1,231.19 : x
  2. Step 2: Convert to fraction form
    2,162.69/2,984.51 = 1,231.19/x
  3. Step 3: Cross multiply
    2,162.69x = 2,984.51 × 1,231.19
  4. Step 4: Simplify right side
    2,162.69x = 3,674,498.87
  5. Step 5: Solve for x
    x = 3,674,498.87/2,162.69
  6. Step 6: Final answer
    x = 1,699.04

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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.