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Finding the Fourth Proportional to 2,323.86, 3,487.14 and 937.80

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Solution

The fourth proportional to 2,323.86, 3,487.14 and 937.80 is: 1,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.86 : 3,487.14 = 937.80 : x
  2. Step 2: Convert to fraction form
    2,323.86/3,487.14 = 937.80/x
  3. Step 3: Cross multiply
    2,323.86x = 3,487.14 × 937.80
  4. Step 4: Simplify right side
    2,323.86x = 3,270,239.89
  5. Step 5: Solve for x
    x = 3,270,239.89/2,323.86
  6. Step 6: Final answer
    x = 1,407.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.