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Finding the Fourth Proportional to 1,321.12, 1,821.20 and 1,182.88

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Solution

The fourth proportional to 1,321.12, 1,821.20 and 1,182.88 is: 1,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.12 : 1,821.20 = 1,182.88 : x
  2. Step 2: Convert to fraction form
    1,321.12/1,821.20 = 1,182.88/x
  3. Step 3: Cross multiply
    1,321.12x = 1,821.20 × 1,182.88
  4. Step 4: Simplify right side
    1,321.12x = 2,154,261.06
  5. Step 5: Solve for x
    x = 2,154,261.06/1,321.12
  6. Step 6: Final answer
    x = 1,630.63

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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.