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Finding the Fourth Proportional to 2,744.69, 4,117.48 and 1,358.07

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Solution

The fourth proportional to 2,744.69, 4,117.48 and 1,358.07 is: 2,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.69 : 4,117.48 = 1,358.07 : x
  2. Step 2: Convert to fraction form
    2,744.69/4,117.48 = 1,358.07/x
  3. Step 3: Cross multiply
    2,744.69x = 4,117.48 × 1,358.07
  4. Step 4: Simplify right side
    2,744.69x = 5,591,814.87
  5. Step 5: Solve for x
    x = 5,591,814.87/2,744.69
  6. Step 6: Final answer
    x = 2,037.32

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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.