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Finding the Fourth Proportional to 1,896.58, 2,844.49 and 509.60

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Solution

The fourth proportional to 1,896.58, 2,844.49 and 509.60 is: 764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.58 : 2,844.49 = 509.60 : x
  2. Step 2: Convert to fraction form
    1,896.58/2,844.49 = 509.60/x
  3. Step 3: Cross multiply
    1,896.58x = 2,844.49 × 509.60
  4. Step 4: Simplify right side
    1,896.58x = 1,449,552.10
  5. Step 5: Solve for x
    x = 1,449,552.10/1,896.58
  6. Step 6: Final answer
    x = 764.30

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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.