Home / 2,830.26-3,905.82-1,588.26

Finding the Fourth Proportional to 2,830.26, 3,905.82 and 1,588.26

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Solution

The fourth proportional to 2,830.26, 3,905.82 and 1,588.26 is: 2,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.26 : 3,905.82 = 1,588.26 : x
  2. Step 2: Convert to fraction form
    2,830.26/3,905.82 = 1,588.26/x
  3. Step 3: Cross multiply
    2,830.26x = 3,905.82 × 1,588.26
  4. Step 4: Simplify right side
    2,830.26x = 6,203,457.67
  5. Step 5: Solve for x
    x = 6,203,457.67/2,830.26
  6. Step 6: Final answer
    x = 2,191.83

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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.