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Finding the Fourth Proportional to 1,650.44, 2,275.90 and 1,415.20

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Solution

The fourth proportional to 1,650.44, 2,275.90 and 1,415.20 is: 1,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.44 : 2,275.90 = 1,415.20 : x
  2. Step 2: Convert to fraction form
    1,650.44/2,275.90 = 1,415.20/x
  3. Step 3: Cross multiply
    1,650.44x = 2,275.90 × 1,415.20
  4. Step 4: Simplify right side
    1,650.44x = 3,220,853.68
  5. Step 5: Solve for x
    x = 3,220,853.68/1,650.44
  6. Step 6: Final answer
    x = 1,951.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.