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Finding the Fourth Proportional to 2,705.86, 4,059 and 857.08

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Solution

The fourth proportional to 2,705.86, 4,059 and 857.08 is: 1,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.86 : 4,059 = 857.08 : x
  2. Step 2: Convert to fraction form
    2,705.86/4,059 = 857.08/x
  3. Step 3: Cross multiply
    2,705.86x = 4,059 × 857.08
  4. Step 4: Simplify right side
    2,705.86x = 3,478,887.72
  5. Step 5: Solve for x
    x = 3,478,887.72/2,705.86
  6. Step 6: Final answer
    x = 1,285.69

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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.