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Finding the Fourth Proportional to 1,431.70, 2,143.95 and 942.10

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Solution

The fourth proportional to 1,431.70, 2,143.95 and 942.10 is: 1,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.70 : 2,143.95 = 942.10 : x
  2. Step 2: Convert to fraction form
    1,431.70/2,143.95 = 942.10/x
  3. Step 3: Cross multiply
    1,431.70x = 2,143.95 × 942.10
  4. Step 4: Simplify right side
    1,431.70x = 2,019,815.30
  5. Step 5: Solve for x
    x = 2,019,815.30/1,431.70
  6. Step 6: Final answer
    x = 1,410.78

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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.