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Finding the Fourth Proportional to 2,592.35, 3,890.48 and 1,900.82

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Solution

The fourth proportional to 2,592.35, 3,890.48 and 1,900.82 is: 2,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.35 : 3,890.48 = 1,900.82 : x
  2. Step 2: Convert to fraction form
    2,592.35/3,890.48 = 1,900.82/x
  3. Step 3: Cross multiply
    2,592.35x = 3,890.48 × 1,900.82
  4. Step 4: Simplify right side
    2,592.35x = 7,395,091.22
  5. Step 5: Solve for x
    x = 7,395,091.22/2,592.35
  6. Step 6: Final answer
    x = 2,852.65

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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.