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Finding the Fourth Proportional to 1,648.97, 2,274.55 and 1,019.69

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Solution

The fourth proportional to 1,648.97, 2,274.55 and 1,019.69 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.97 : 2,274.55 = 1,019.69 : x
  2. Step 2: Convert to fraction form
    1,648.97/2,274.55 = 1,019.69/x
  3. Step 3: Cross multiply
    1,648.97x = 2,274.55 × 1,019.69
  4. Step 4: Simplify right side
    1,648.97x = 2,319,321.97
  5. Step 5: Solve for x
    x = 2,319,321.97/1,648.97
  6. Step 6: Final answer
    x = 1,406.53

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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.