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Finding the Fourth Proportional to 1,382.04, 2,071.01 and 1,090.25

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Solution

The fourth proportional to 1,382.04, 2,071.01 and 1,090.25 is: 1,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.04 : 2,071.01 = 1,090.25 : x
  2. Step 2: Convert to fraction form
    1,382.04/2,071.01 = 1,090.25/x
  3. Step 3: Cross multiply
    1,382.04x = 2,071.01 × 1,090.25
  4. Step 4: Simplify right side
    1,382.04x = 2,257,918.65
  5. Step 5: Solve for x
    x = 2,257,918.65/1,382.04
  6. Step 6: Final answer
    x = 1,633.76

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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.