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Finding the Fourth Proportional to 1,784.43, 2,673.88 and 1,090.06

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Solution

The fourth proportional to 1,784.43, 2,673.88 and 1,090.06 is: 1,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.43 : 2,673.88 = 1,090.06 : x
  2. Step 2: Convert to fraction form
    1,784.43/2,673.88 = 1,090.06/x
  3. Step 3: Cross multiply
    1,784.43x = 2,673.88 × 1,090.06
  4. Step 4: Simplify right side
    1,784.43x = 2,914,680.22
  5. Step 5: Solve for x
    x = 2,914,680.22/1,784.43
  6. Step 6: Final answer
    x = 1,633.40

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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.