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Finding the Fourth Proportional to 2,744.75, 4,118.99 and 1,357.83

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Solution

The fourth proportional to 2,744.75, 4,118.99 and 1,357.83 is: 2,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.75 : 4,118.99 = 1,357.83 : x
  2. Step 2: Convert to fraction form
    2,744.75/4,118.99 = 1,357.83/x
  3. Step 3: Cross multiply
    2,744.75x = 4,118.99 × 1,357.83
  4. Step 4: Simplify right side
    2,744.75x = 5,592,881.40
  5. Step 5: Solve for x
    x = 5,592,881.40/2,744.75
  6. Step 6: Final answer
    x = 2,037.66

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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.