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Finding the Fourth Proportional to 2,083.18, 3,124.80 and 544.18

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Solution

The fourth proportional to 2,083.18, 3,124.80 and 544.18 is: 816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.18 : 3,124.80 = 544.18 : x
  2. Step 2: Convert to fraction form
    2,083.18/3,124.80 = 544.18/x
  3. Step 3: Cross multiply
    2,083.18x = 3,124.80 × 544.18
  4. Step 4: Simplify right side
    2,083.18x = 1,700,453.66
  5. Step 5: Solve for x
    x = 1,700,453.66/2,083.18
  6. Step 6: Final answer
    x = 816.28

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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.