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Finding the Fourth Proportional to 1,415.75, 2,121.80 and 635.31

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Solution

The fourth proportional to 1,415.75, 2,121.80 and 635.31 is: 952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.75 : 2,121.80 = 635.31 : x
  2. Step 2: Convert to fraction form
    1,415.75/2,121.80 = 635.31/x
  3. Step 3: Cross multiply
    1,415.75x = 2,121.80 × 635.31
  4. Step 4: Simplify right side
    1,415.75x = 1,347,997.58
  5. Step 5: Solve for x
    x = 1,347,997.58/1,415.75
  6. Step 6: Final answer
    x = 952.15

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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.