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Finding the Fourth Proportional to 1,323.32, 1,974.62 and 1,206.88

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Solution

The fourth proportional to 1,323.32, 1,974.62 and 1,206.88 is: 1,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.32 : 1,974.62 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    1,323.32/1,974.62 = 1,206.88/x
  3. Step 3: Cross multiply
    1,323.32x = 1,974.62 × 1,206.88
  4. Step 4: Simplify right side
    1,323.32x = 2,383,127.47
  5. Step 5: Solve for x
    x = 2,383,127.47/1,323.32
  6. Step 6: Final answer
    x = 1,800.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.