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Finding the Fourth Proportional to 1,497.44, 2,066.73 and 1,126.28

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Solution

The fourth proportional to 1,497.44, 2,066.73 and 1,126.28 is: 1,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.44 : 2,066.73 = 1,126.28 : x
  2. Step 2: Convert to fraction form
    1,497.44/2,066.73 = 1,126.28/x
  3. Step 3: Cross multiply
    1,497.44x = 2,066.73 × 1,126.28
  4. Step 4: Simplify right side
    1,497.44x = 2,327,716.66
  5. Step 5: Solve for x
    x = 2,327,716.66/1,497.44
  6. Step 6: Final answer
    x = 1,554.46

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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.