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Finding the Fourth Proportional to 1,757.95, 2,638.55 and 1,208.77

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Solution

The fourth proportional to 1,757.95, 2,638.55 and 1,208.77 is: 1,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.95 : 2,638.55 = 1,208.77 : x
  2. Step 2: Convert to fraction form
    1,757.95/2,638.55 = 1,208.77/x
  3. Step 3: Cross multiply
    1,757.95x = 2,638.55 × 1,208.77
  4. Step 4: Simplify right side
    1,757.95x = 3,189,400.08
  5. Step 5: Solve for x
    x = 3,189,400.08/1,757.95
  6. Step 6: Final answer
    x = 1,814.27

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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.