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Finding the Fourth Proportional to 1,735.29, 2,605.68 and 1,005.39

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Solution

The fourth proportional to 1,735.29, 2,605.68 and 1,005.39 is: 1,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.29 : 2,605.68 = 1,005.39 : x
  2. Step 2: Convert to fraction form
    1,735.29/2,605.68 = 1,005.39/x
  3. Step 3: Cross multiply
    1,735.29x = 2,605.68 × 1,005.39
  4. Step 4: Simplify right side
    1,735.29x = 2,619,724.62
  5. Step 5: Solve for x
    x = 2,619,724.62/1,735.29
  6. Step 6: Final answer
    x = 1,509.68

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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.