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Finding the Fourth Proportional to 1,410.46, 1,946.63 and 851.29

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Solution

The fourth proportional to 1,410.46, 1,946.63 and 851.29 is: 1,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.46 : 1,946.63 = 851.29 : x
  2. Step 2: Convert to fraction form
    1,410.46/1,946.63 = 851.29/x
  3. Step 3: Cross multiply
    1,410.46x = 1,946.63 × 851.29
  4. Step 4: Simplify right side
    1,410.46x = 1,657,146.65
  5. Step 5: Solve for x
    x = 1,657,146.65/1,410.46
  6. Step 6: Final answer
    x = 1,174.90

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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.