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Finding the Fourth Proportional to 2,076.12, 3,113.94 and 537.24

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Solution

The fourth proportional to 2,076.12, 3,113.94 and 537.24 is: 805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.12 : 3,113.94 = 537.24 : x
  2. Step 2: Convert to fraction form
    2,076.12/3,113.94 = 537.24/x
  3. Step 3: Cross multiply
    2,076.12x = 3,113.94 × 537.24
  4. Step 4: Simplify right side
    2,076.12x = 1,672,933.13
  5. Step 5: Solve for x
    x = 1,672,933.13/2,076.12
  6. Step 6: Final answer
    x = 805.80

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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.