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Finding the Fourth Proportional to 2,083.12, 3,124.44 and 544.24

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Solution

The fourth proportional to 2,083.12, 3,124.44 and 544.24 is: 816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.12 : 3,124.44 = 544.24 : x
  2. Step 2: Convert to fraction form
    2,083.12/3,124.44 = 544.24/x
  3. Step 3: Cross multiply
    2,083.12x = 3,124.44 × 544.24
  4. Step 4: Simplify right side
    2,083.12x = 1,700,445.23
  5. Step 5: Solve for x
    x = 1,700,445.23/2,083.12
  6. Step 6: Final answer
    x = 816.30

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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.