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Finding the Fourth Proportional to 1,322.01, 1,822.64 and 1,137.48

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Solution

The fourth proportional to 1,322.01, 1,822.64 and 1,137.48 is: 1,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.01 : 1,822.64 = 1,137.48 : x
  2. Step 2: Convert to fraction form
    1,322.01/1,822.64 = 1,137.48/x
  3. Step 3: Cross multiply
    1,322.01x = 1,822.64 × 1,137.48
  4. Step 4: Simplify right side
    1,322.01x = 2,073,219.39
  5. Step 5: Solve for x
    x = 2,073,219.39/1,322.01
  6. Step 6: Final answer
    x = 1,568.23

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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.