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Finding the Fourth Proportional to 2,834.66, 4,251.99 and 1,544.33

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Solution

The fourth proportional to 2,834.66, 4,251.99 and 1,544.33 is: 2,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.66 : 4,251.99 = 1,544.33 : x
  2. Step 2: Convert to fraction form
    2,834.66/4,251.99 = 1,544.33/x
  3. Step 3: Cross multiply
    2,834.66x = 4,251.99 × 1,544.33
  4. Step 4: Simplify right side
    2,834.66x = 6,566,459.53
  5. Step 5: Solve for x
    x = 6,566,459.53/2,834.66
  6. Step 6: Final answer
    x = 2,316.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.