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Finding the Fourth Proportional to 2,804.78, 4,207.74 and 857.18

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Solution

The fourth proportional to 2,804.78, 4,207.74 and 857.18 is: 1,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.78 : 4,207.74 = 857.18 : x
  2. Step 2: Convert to fraction form
    2,804.78/4,207.74 = 857.18/x
  3. Step 3: Cross multiply
    2,804.78x = 4,207.74 × 857.18
  4. Step 4: Simplify right side
    2,804.78x = 3,606,790.57
  5. Step 5: Solve for x
    x = 3,606,790.57/2,804.78
  6. Step 6: Final answer
    x = 1,285.94

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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.