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Finding the Fourth Proportional to 1,322.26, 1,825.12 and 973.96

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Solution

The fourth proportional to 1,322.26, 1,825.12 and 973.96 is: 1,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.26 : 1,825.12 = 973.96 : x
  2. Step 2: Convert to fraction form
    1,322.26/1,825.12 = 973.96/x
  3. Step 3: Cross multiply
    1,322.26x = 1,825.12 × 973.96
  4. Step 4: Simplify right side
    1,322.26x = 1,777,593.88
  5. Step 5: Solve for x
    x = 1,777,593.88/1,322.26
  6. Step 6: Final answer
    x = 1,344.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.