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Finding the Fourth Proportional to 1,422.76, 1,963.78 and 926.76

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Solution

The fourth proportional to 1,422.76, 1,963.78 and 926.76 is: 1,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.76 : 1,963.78 = 926.76 : x
  2. Step 2: Convert to fraction form
    1,422.76/1,963.78 = 926.76/x
  3. Step 3: Cross multiply
    1,422.76x = 1,963.78 × 926.76
  4. Step 4: Simplify right side
    1,422.76x = 1,819,952.75
  5. Step 5: Solve for x
    x = 1,819,952.75/1,422.76
  6. Step 6: Final answer
    x = 1,279.17

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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.