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Finding the Fourth Proportional to 1,410.24, 1,946.04 and 850.92

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Solution

The fourth proportional to 1,410.24, 1,946.04 and 850.92 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.24 : 1,946.04 = 850.92 : x
  2. Step 2: Convert to fraction form
    1,410.24/1,946.04 = 850.92/x
  3. Step 3: Cross multiply
    1,410.24x = 1,946.04 × 850.92
  4. Step 4: Simplify right side
    1,410.24x = 1,655,924.36
  5. Step 5: Solve for x
    x = 1,655,924.36/1,410.24
  6. Step 6: Final answer
    x = 1,174.21

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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.