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Finding the Fourth Proportional to 2,998.86, 4,483.50 and 2,541.75

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Solution

The fourth proportional to 2,998.86, 4,483.50 and 2,541.75 is: 3,800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.86 : 4,483.50 = 2,541.75 : x
  2. Step 2: Convert to fraction form
    2,998.86/4,483.50 = 2,541.75/x
  3. Step 3: Cross multiply
    2,998.86x = 4,483.50 × 2,541.75
  4. Step 4: Simplify right side
    2,998.86x = 11,395,936.13
  5. Step 5: Solve for x
    x = 11,395,936.13/2,998.86
  6. Step 6: Final answer
    x = 3,800.09

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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.