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Finding the Fourth Proportional to 1,428.59, 2,144.70 and 1,331.70

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Solution

The fourth proportional to 1,428.59, 2,144.70 and 1,331.70 is: 1,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.59 : 2,144.70 = 1,331.70 : x
  2. Step 2: Convert to fraction form
    1,428.59/2,144.70 = 1,331.70/x
  3. Step 3: Cross multiply
    1,428.59x = 2,144.70 × 1,331.70
  4. Step 4: Simplify right side
    1,428.59x = 2,856,096.99
  5. Step 5: Solve for x
    x = 2,856,096.99/1,428.59
  6. Step 6: Final answer
    x = 1,999.24

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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.