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Finding the Fourth Proportional to 2,324.51, 3,207.72 and 1,262.23

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Solution

The fourth proportional to 2,324.51, 3,207.72 and 1,262.23 is: 1,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.51 : 3,207.72 = 1,262.23 : x
  2. Step 2: Convert to fraction form
    2,324.51/3,207.72 = 1,262.23/x
  3. Step 3: Cross multiply
    2,324.51x = 3,207.72 × 1,262.23
  4. Step 4: Simplify right side
    2,324.51x = 4,048,858.07
  5. Step 5: Solve for x
    x = 4,048,858.07/2,324.51
  6. Step 6: Final answer
    x = 1,741.82

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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.