Home / 1,422.56-1,961.52-1,159.76

Finding the Fourth Proportional to 1,422.56, 1,961.52 and 1,159.76

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Solution

The fourth proportional to 1,422.56, 1,961.52 and 1,159.76 is: 1,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.56 : 1,961.52 = 1,159.76 : x
  2. Step 2: Convert to fraction form
    1,422.56/1,961.52 = 1,159.76/x
  3. Step 3: Cross multiply
    1,422.56x = 1,961.52 × 1,159.76
  4. Step 4: Simplify right side
    1,422.56x = 2,274,892.44
  5. Step 5: Solve for x
    x = 2,274,892.44/1,422.56
  6. Step 6: Final answer
    x = 1,599.15

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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.