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Finding the Fourth Proportional to 2,520.95, 3,782.63 and 1,900.28

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Solution

The fourth proportional to 2,520.95, 3,782.63 and 1,900.28 is: 2,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.95 : 3,782.63 = 1,900.28 : x
  2. Step 2: Convert to fraction form
    2,520.95/3,782.63 = 1,900.28/x
  3. Step 3: Cross multiply
    2,520.95x = 3,782.63 × 1,900.28
  4. Step 4: Simplify right side
    2,520.95x = 7,188,070.34
  5. Step 5: Solve for x
    x = 7,188,070.34/2,520.95
  6. Step 6: Final answer
    x = 2,851.34

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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.