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Finding the Fourth Proportional to 2,500.86, 3,749.40 and 1,954.20

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Solution

The fourth proportional to 2,500.86, 3,749.40 and 1,954.20 is: 2,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.86 : 3,749.40 = 1,954.20 : x
  2. Step 2: Convert to fraction form
    2,500.86/3,749.40 = 1,954.20/x
  3. Step 3: Cross multiply
    2,500.86x = 3,749.40 × 1,954.20
  4. Step 4: Simplify right side
    2,500.86x = 7,327,077.48
  5. Step 5: Solve for x
    x = 7,327,077.48/2,500.86
  6. Step 6: Final answer
    x = 2,929.82

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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.