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Finding the Fourth Proportional to 2,083.37, 3,124.82 and 544.49

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Solution

The fourth proportional to 2,083.37, 3,124.82 and 544.49 is: 816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.37 : 3,124.82 = 544.49 : x
  2. Step 2: Convert to fraction form
    2,083.37/3,124.82 = 544.49/x
  3. Step 3: Cross multiply
    2,083.37x = 3,124.82 × 544.49
  4. Step 4: Simplify right side
    2,083.37x = 1,701,430.52
  5. Step 5: Solve for x
    x = 1,701,430.52/2,083.37
  6. Step 6: Final answer
    x = 816.67

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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.