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Finding the Fourth Proportional to 1,410.50, 1,946.46 and 851.43

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Solution

The fourth proportional to 1,410.50, 1,946.46 and 851.43 is: 1,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.50 : 1,946.46 = 851.43 : x
  2. Step 2: Convert to fraction form
    1,410.50/1,946.46 = 851.43/x
  3. Step 3: Cross multiply
    1,410.50x = 1,946.46 × 851.43
  4. Step 4: Simplify right side
    1,410.50x = 1,657,274.44
  5. Step 5: Solve for x
    x = 1,657,274.44/1,410.50
  6. Step 6: Final answer
    x = 1,174.96

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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.