Home / 2,204.63-3,307.04-971.76

Finding the Fourth Proportional to 2,204.63, 3,307.04 and 971.76

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Solution

The fourth proportional to 2,204.63, 3,307.04 and 971.76 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.63 : 3,307.04 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,204.63/3,307.04 = 971.76/x
  3. Step 3: Cross multiply
    2,204.63x = 3,307.04 × 971.76
  4. Step 4: Simplify right side
    2,204.63x = 3,213,651.62
  5. Step 5: Solve for x
    x = 3,213,651.62/2,204.63
  6. Step 6: Final answer
    x = 1,457.68

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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.