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Finding the Fourth Proportional to 2,148.69, 3,224.94 and 1,162.29

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Solution

The fourth proportional to 2,148.69, 3,224.94 and 1,162.29 is: 1,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.69 : 3,224.94 = 1,162.29 : x
  2. Step 2: Convert to fraction form
    2,148.69/3,224.94 = 1,162.29/x
  3. Step 3: Cross multiply
    2,148.69x = 3,224.94 × 1,162.29
  4. Step 4: Simplify right side
    2,148.69x = 3,748,315.51
  5. Step 5: Solve for x
    x = 3,748,315.51/2,148.69
  6. Step 6: Final answer
    x = 1,744.47

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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.