Home / 1,822.23-2,512.94-1,157.90

Finding the Fourth Proportional to 1,822.23, 2,512.94 and 1,157.90

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Solution

The fourth proportional to 1,822.23, 2,512.94 and 1,157.90 is: 1,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.23 : 2,512.94 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    1,822.23/2,512.94 = 1,157.90/x
  3. Step 3: Cross multiply
    1,822.23x = 2,512.94 × 1,157.90
  4. Step 4: Simplify right side
    1,822.23x = 2,909,714.87
  5. Step 5: Solve for x
    x = 2,909,714.87/1,822.23
  6. Step 6: Final answer
    x = 1,596.79

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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.