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Finding the Fourth Proportional to 2,324.86, 3,503.27 and 1,923.03

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Solution

The fourth proportional to 2,324.86, 3,503.27 and 1,923.03 is: 2,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.86 : 3,503.27 = 1,923.03 : x
  2. Step 2: Convert to fraction form
    2,324.86/3,503.27 = 1,923.03/x
  3. Step 3: Cross multiply
    2,324.86x = 3,503.27 × 1,923.03
  4. Step 4: Simplify right side
    2,324.86x = 6,736,893.31
  5. Step 5: Solve for x
    x = 6,736,893.31/2,324.86
  6. Step 6: Final answer
    x = 2,897.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.