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Finding the Fourth Proportional to 1,739.30, 2,609.31 and 1,008.98

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Solution

The fourth proportional to 1,739.30, 2,609.31 and 1,008.98 is: 1,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.30 : 2,609.31 = 1,008.98 : x
  2. Step 2: Convert to fraction form
    1,739.30/2,609.31 = 1,008.98/x
  3. Step 3: Cross multiply
    1,739.30x = 2,609.31 × 1,008.98
  4. Step 4: Simplify right side
    1,739.30x = 2,632,741.60
  5. Step 5: Solve for x
    x = 2,632,741.60/1,739.30
  6. Step 6: Final answer
    x = 1,513.68

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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.