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Finding the Fourth Proportional to 2,076.19, 3,114.29 and 537.19

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Solution

The fourth proportional to 2,076.19, 3,114.29 and 537.19 is: 805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.19 : 3,114.29 = 537.19 : x
  2. Step 2: Convert to fraction form
    2,076.19/3,114.29 = 537.19/x
  3. Step 3: Cross multiply
    2,076.19x = 3,114.29 × 537.19
  4. Step 4: Simplify right side
    2,076.19x = 1,672,959.00
  5. Step 5: Solve for x
    x = 1,672,959.00/2,076.19
  6. Step 6: Final answer
    x = 805.78

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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.