Home / 2,204.72-3,307.94-971.26

Finding the Fourth Proportional to 2,204.72, 3,307.94 and 971.26

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Solution

The fourth proportional to 2,204.72, 3,307.94 and 971.26 is: 1,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.72 : 3,307.94 = 971.26 : x
  2. Step 2: Convert to fraction form
    2,204.72/3,307.94 = 971.26/x
  3. Step 3: Cross multiply
    2,204.72x = 3,307.94 × 971.26
  4. Step 4: Simplify right side
    2,204.72x = 3,212,864.95
  5. Step 5: Solve for x
    x = 3,212,864.95/2,204.72
  6. Step 6: Final answer
    x = 1,457.27

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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.