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Finding the Fourth Proportional to 1,851.90, 2,778.94 and 682.72

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Solution

The fourth proportional to 1,851.90, 2,778.94 and 682.72 is: 1,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.90 : 2,778.94 = 682.72 : x
  2. Step 2: Convert to fraction form
    1,851.90/2,778.94 = 682.72/x
  3. Step 3: Cross multiply
    1,851.90x = 2,778.94 × 682.72
  4. Step 4: Simplify right side
    1,851.90x = 1,897,238.40
  5. Step 5: Solve for x
    x = 1,897,238.40/1,851.90
  6. Step 6: Final answer
    x = 1,024.48

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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.