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Finding the Fourth Proportional to 1,900.19, 2,850.56 and 925.63

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Solution

The fourth proportional to 1,900.19, 2,850.56 and 925.63 is: 1,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.19 : 2,850.56 = 925.63 : x
  2. Step 2: Convert to fraction form
    1,900.19/2,850.56 = 925.63/x
  3. Step 3: Cross multiply
    1,900.19x = 2,850.56 × 925.63
  4. Step 4: Simplify right side
    1,900.19x = 2,638,563.85
  5. Step 5: Solve for x
    x = 2,638,563.85/1,900.19
  6. Step 6: Final answer
    x = 1,388.58

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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.