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Finding the Fourth Proportional to 1,675.25, 2,509.62 and 1,289.69

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Solution

The fourth proportional to 1,675.25, 2,509.62 and 1,289.69 is: 1,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.25 : 2,509.62 = 1,289.69 : x
  2. Step 2: Convert to fraction form
    1,675.25/2,509.62 = 1,289.69/x
  3. Step 3: Cross multiply
    1,675.25x = 2,509.62 × 1,289.69
  4. Step 4: Simplify right side
    1,675.25x = 3,236,619.27
  5. Step 5: Solve for x
    x = 3,236,619.27/1,675.25
  6. Step 6: Final answer
    x = 1,932.03

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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.