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Finding the Fourth Proportional to 1,901.02, 2,851.73 and 514.37

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Solution

The fourth proportional to 1,901.02, 2,851.73 and 514.37 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.02 : 2,851.73 = 514.37 : x
  2. Step 2: Convert to fraction form
    1,901.02/2,851.73 = 514.37/x
  3. Step 3: Cross multiply
    1,901.02x = 2,851.73 × 514.37
  4. Step 4: Simplify right side
    1,901.02x = 1,466,844.36
  5. Step 5: Solve for x
    x = 1,466,844.36/1,901.02
  6. Step 6: Final answer
    x = 771.61

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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.