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Finding the Fourth Proportional to 1,422.94, 2,144.70 and 1,343.50

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Solution

The fourth proportional to 1,422.94, 2,144.70 and 1,343.50 is: 2,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.94 : 2,144.70 = 1,343.50 : x
  2. Step 2: Convert to fraction form
    1,422.94/2,144.70 = 1,343.50/x
  3. Step 3: Cross multiply
    1,422.94x = 2,144.70 × 1,343.50
  4. Step 4: Simplify right side
    1,422.94x = 2,881,397.73
  5. Step 5: Solve for x
    x = 2,881,397.73/1,422.94
  6. Step 6: Final answer
    x = 2,024.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.