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Finding the Fourth Proportional to 1,422.19, 1,960.35 and 949.15

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Solution

The fourth proportional to 1,422.19, 1,960.35 and 949.15 is: 1,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.19 : 1,960.35 = 949.15 : x
  2. Step 2: Convert to fraction form
    1,422.19/1,960.35 = 949.15/x
  3. Step 3: Cross multiply
    1,422.19x = 1,960.35 × 949.15
  4. Step 4: Simplify right side
    1,422.19x = 1,860,670.43
  5. Step 5: Solve for x
    x = 1,860,670.43/1,422.19
  6. Step 6: Final answer
    x = 1,308.31

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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.