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Finding the Fourth Proportional to 1,344, 2,026.56 and 1,090.56

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Solution

The fourth proportional to 1,344, 2,026.56 and 1,090.56 is: 1,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344 : 2,026.56 = 1,090.56 : x
  2. Step 2: Convert to fraction form
    1,344/2,026.56 = 1,090.56/x
  3. Step 3: Cross multiply
    1,344x = 2,026.56 × 1,090.56
  4. Step 4: Simplify right side
    1,344x = 2,210,085.27
  5. Step 5: Solve for x
    x = 2,210,085.27/1,344
  6. Step 6: Final answer
    x = 1,644.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.