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Finding the Fourth Proportional to 2,270.97, 3,406.45 and 971.53

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Solution

The fourth proportional to 2,270.97, 3,406.45 and 971.53 is: 1,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.97 : 3,406.45 = 971.53 : x
  2. Step 2: Convert to fraction form
    2,270.97/3,406.45 = 971.53/x
  3. Step 3: Cross multiply
    2,270.97x = 3,406.45 × 971.53
  4. Step 4: Simplify right side
    2,270.97x = 3,309,451.34
  5. Step 5: Solve for x
    x = 3,309,451.34/2,270.97
  6. Step 6: Final answer
    x = 1,457.29

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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.