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Finding the Fourth Proportional to 2,181.37, 3,010.37 and 1,237.15

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Solution

The fourth proportional to 2,181.37, 3,010.37 and 1,237.15 is: 1,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.37 : 3,010.37 = 1,237.15 : x
  2. Step 2: Convert to fraction form
    2,181.37/3,010.37 = 1,237.15/x
  3. Step 3: Cross multiply
    2,181.37x = 3,010.37 × 1,237.15
  4. Step 4: Simplify right side
    2,181.37x = 3,724,279.25
  5. Step 5: Solve for x
    x = 3,724,279.25/2,181.37
  6. Step 6: Final answer
    x = 1,707.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.