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Finding the Fourth Proportional to 1,836.21, 2,533.04 and 1,162.88

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Solution

The fourth proportional to 1,836.21, 2,533.04 and 1,162.88 is: 1,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.21 : 2,533.04 = 1,162.88 : x
  2. Step 2: Convert to fraction form
    1,836.21/2,533.04 = 1,162.88/x
  3. Step 3: Cross multiply
    1,836.21x = 2,533.04 × 1,162.88
  4. Step 4: Simplify right side
    1,836.21x = 2,945,603.08
  5. Step 5: Solve for x
    x = 2,945,603.08/1,836.21
  6. Step 6: Final answer
    x = 1,604.18

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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.