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Finding the Fourth Proportional to 1,422.90, 2,134.26 and 642.96

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Solution

The fourth proportional to 1,422.90, 2,134.26 and 642.96 is: 964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.90 : 2,134.26 = 642.96 : x
  2. Step 2: Convert to fraction form
    1,422.90/2,134.26 = 642.96/x
  3. Step 3: Cross multiply
    1,422.90x = 2,134.26 × 642.96
  4. Step 4: Simplify right side
    1,422.90x = 1,372,243.81
  5. Step 5: Solve for x
    x = 1,372,243.81/1,422.90
  6. Step 6: Final answer
    x = 964.40

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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.