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Finding the Fourth Proportional to 2,757.83, 4,135.43 and 1,002.60

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Solution

The fourth proportional to 2,757.83, 4,135.43 and 1,002.60 is: 1,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.83 : 4,135.43 = 1,002.60 : x
  2. Step 2: Convert to fraction form
    2,757.83/4,135.43 = 1,002.60/x
  3. Step 3: Cross multiply
    2,757.83x = 4,135.43 × 1,002.60
  4. Step 4: Simplify right side
    2,757.83x = 4,146,177.11
  5. Step 5: Solve for x
    x = 4,146,177.11/2,757.83
  6. Step 6: Final answer
    x = 1,503.42

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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.