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Finding the Fourth Proportional to 1,613.70, 2,227.24 and 1,054.26

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Solution

The fourth proportional to 1,613.70, 2,227.24 and 1,054.26 is: 1,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.70 : 2,227.24 = 1,054.26 : x
  2. Step 2: Convert to fraction form
    1,613.70/2,227.24 = 1,054.26/x
  3. Step 3: Cross multiply
    1,613.70x = 2,227.24 × 1,054.26
  4. Step 4: Simplify right side
    1,613.70x = 2,348,090.04
  5. Step 5: Solve for x
    x = 2,348,090.04/1,613.70
  6. Step 6: Final answer
    x = 1,455.10

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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.