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Finding the Fourth Proportional to 2,534.86, 3,793 and 1,495.33

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Solution

The fourth proportional to 2,534.86, 3,793 and 1,495.33 is: 2,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.86 : 3,793 = 1,495.33 : x
  2. Step 2: Convert to fraction form
    2,534.86/3,793 = 1,495.33/x
  3. Step 3: Cross multiply
    2,534.86x = 3,793 × 1,495.33
  4. Step 4: Simplify right side
    2,534.86x = 5,671,786.69
  5. Step 5: Solve for x
    x = 5,671,786.69/2,534.86
  6. Step 6: Final answer
    x = 2,237.51

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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.