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Finding the Fourth Proportional to 1,322.40, 1,984.80 and 1,049.28

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Solution

The fourth proportional to 1,322.40, 1,984.80 and 1,049.28 is: 1,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,984.80 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,984.80 = 1,049.28/x
  3. Step 3: Cross multiply
    1,322.40x = 1,984.80 × 1,049.28
  4. Step 4: Simplify right side
    1,322.40x = 2,082,610.94
  5. Step 5: Solve for x
    x = 2,082,610.94/1,322.40
  6. Step 6: Final answer
    x = 1,574.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.