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Finding the Fourth Proportional to 2,790.34, 4,185.83 and 842.66

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Solution

The fourth proportional to 2,790.34, 4,185.83 and 842.66 is: 1,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.34 : 4,185.83 = 842.66 : x
  2. Step 2: Convert to fraction form
    2,790.34/4,185.83 = 842.66/x
  3. Step 3: Cross multiply
    2,790.34x = 4,185.83 × 842.66
  4. Step 4: Simplify right side
    2,790.34x = 3,527,231.51
  5. Step 5: Solve for x
    x = 3,527,231.51/2,790.34
  6. Step 6: Final answer
    x = 1,264.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.