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Finding the Fourth Proportional to 2,076.32, 3,114.52 and 537.32

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Solution

The fourth proportional to 2,076.32, 3,114.52 and 537.32 is: 805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.32 : 3,114.52 = 537.32 : x
  2. Step 2: Convert to fraction form
    2,076.32/3,114.52 = 537.32/x
  3. Step 3: Cross multiply
    2,076.32x = 3,114.52 × 537.32
  4. Step 4: Simplify right side
    2,076.32x = 1,673,493.89
  5. Step 5: Solve for x
    x = 1,673,493.89/2,076.32
  6. Step 6: Final answer
    x = 805.99

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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.