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Finding the Fourth Proportional to 2,498.31, 3,744.77 and 2,011.77

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Solution

The fourth proportional to 2,498.31, 3,744.77 and 2,011.77 is: 3,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.31 : 3,744.77 = 2,011.77 : x
  2. Step 2: Convert to fraction form
    2,498.31/3,744.77 = 2,011.77/x
  3. Step 3: Cross multiply
    2,498.31x = 3,744.77 × 2,011.77
  4. Step 4: Simplify right side
    2,498.31x = 7,533,605.88
  5. Step 5: Solve for x
    x = 7,533,605.88/2,498.31
  6. Step 6: Final answer
    x = 3,015.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.