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Finding the Fourth Proportional to 1,890.12, 2,832 and 1,425.54

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Solution

The fourth proportional to 1,890.12, 2,832 and 1,425.54 is: 2,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.12 : 2,832 = 1,425.54 : x
  2. Step 2: Convert to fraction form
    1,890.12/2,832 = 1,425.54/x
  3. Step 3: Cross multiply
    1,890.12x = 2,832 × 1,425.54
  4. Step 4: Simplify right side
    1,890.12x = 4,037,129.28
  5. Step 5: Solve for x
    x = 4,037,129.28/1,890.12
  6. Step 6: Final answer
    x = 2,135.91

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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.