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Finding the Fourth Proportional to 2,518.96, 3,771.96 and 2,023.06

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Solution

The fourth proportional to 2,518.96, 3,771.96 and 2,023.06 is: 3,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.96 : 3,771.96 = 2,023.06 : x
  2. Step 2: Convert to fraction form
    2,518.96/3,771.96 = 2,023.06/x
  3. Step 3: Cross multiply
    2,518.96x = 3,771.96 × 2,023.06
  4. Step 4: Simplify right side
    2,518.96x = 7,630,901.40
  5. Step 5: Solve for x
    x = 7,630,901.40/2,518.96
  6. Step 6: Final answer
    x = 3,029.39

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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.