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Finding the Fourth Proportional to 2,501.10, 3,749.35 and 857.27

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Solution

The fourth proportional to 2,501.10, 3,749.35 and 857.27 is: 1,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.10 : 3,749.35 = 857.27 : x
  2. Step 2: Convert to fraction form
    2,501.10/3,749.35 = 857.27/x
  3. Step 3: Cross multiply
    2,501.10x = 3,749.35 × 857.27
  4. Step 4: Simplify right side
    2,501.10x = 3,214,212.50
  5. Step 5: Solve for x
    x = 3,214,212.50/2,501.10
  6. Step 6: Final answer
    x = 1,285.12

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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.