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Finding the Fourth Proportional to 1,649.26, 2,473.08 and 675.28

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Solution

The fourth proportional to 1,649.26, 2,473.08 and 675.28 is: 1,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.26 : 2,473.08 = 675.28 : x
  2. Step 2: Convert to fraction form
    1,649.26/2,473.08 = 675.28/x
  3. Step 3: Cross multiply
    1,649.26x = 2,473.08 × 675.28
  4. Step 4: Simplify right side
    1,649.26x = 1,670,021.46
  5. Step 5: Solve for x
    x = 1,670,021.46/1,649.26
  6. Step 6: Final answer
    x = 1,012.59

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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.