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Finding the Fourth Proportional to 1,649.37, 2,470.80 and 1,262.73

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Solution

The fourth proportional to 1,649.37, 2,470.80 and 1,262.73 is: 1,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.37 : 2,470.80 = 1,262.73 : x
  2. Step 2: Convert to fraction form
    1,649.37/2,470.80 = 1,262.73/x
  3. Step 3: Cross multiply
    1,649.37x = 2,470.80 × 1,262.73
  4. Step 4: Simplify right side
    1,649.37x = 3,119,953.28
  5. Step 5: Solve for x
    x = 3,119,953.28/1,649.37
  6. Step 6: Final answer
    x = 1,891.60

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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.