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Finding the Fourth Proportional to 1,735.37, 2,394.90 and 1,027.62

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Solution

The fourth proportional to 1,735.37, 2,394.90 and 1,027.62 is: 1,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.37 : 2,394.90 = 1,027.62 : x
  2. Step 2: Convert to fraction form
    1,735.37/2,394.90 = 1,027.62/x
  3. Step 3: Cross multiply
    1,735.37x = 2,394.90 × 1,027.62
  4. Step 4: Simplify right side
    1,735.37x = 2,461,047.14
  5. Step 5: Solve for x
    x = 2,461,047.14/1,735.37
  6. Step 6: Final answer
    x = 1,418.17

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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.