Home / 2,820.30-4,230.73-971.17

Finding the Fourth Proportional to 2,820.30, 4,230.73 and 971.17

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Solution

The fourth proportional to 2,820.30, 4,230.73 and 971.17 is: 1,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.30 : 4,230.73 = 971.17 : x
  2. Step 2: Convert to fraction form
    2,820.30/4,230.73 = 971.17/x
  3. Step 3: Cross multiply
    2,820.30x = 4,230.73 × 971.17
  4. Step 4: Simplify right side
    2,820.30x = 4,108,758.05
  5. Step 5: Solve for x
    x = 4,108,758.05/2,820.30
  6. Step 6: Final answer
    x = 1,456.85

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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.