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Finding the Fourth Proportional to 1,613.58, 2,227.42 and 1,090.32

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Solution

The fourth proportional to 1,613.58, 2,227.42 and 1,090.32 is: 1,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.58 : 2,227.42 = 1,090.32 : x
  2. Step 2: Convert to fraction form
    1,613.58/2,227.42 = 1,090.32/x
  3. Step 3: Cross multiply
    1,613.58x = 2,227.42 × 1,090.32
  4. Step 4: Simplify right side
    1,613.58x = 2,428,589.50
  5. Step 5: Solve for x
    x = 2,428,589.50/1,613.58
  6. Step 6: Final answer
    x = 1,505.10

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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.