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Finding the Fourth Proportional to 1,735.09, 2,605.07 and 1,005.48

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Solution

The fourth proportional to 1,735.09, 2,605.07 and 1,005.48 is: 1,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.09 : 2,605.07 = 1,005.48 : x
  2. Step 2: Convert to fraction form
    1,735.09/2,605.07 = 1,005.48/x
  3. Step 3: Cross multiply
    1,735.09x = 2,605.07 × 1,005.48
  4. Step 4: Simplify right side
    1,735.09x = 2,619,348.30
  5. Step 5: Solve for x
    x = 2,619,348.30/1,735.09
  6. Step 6: Final answer
    x = 1,509.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.