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Finding the Fourth Proportional to 3,153.74, 4,352.94 and 1,828.24

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Solution

The fourth proportional to 3,153.74, 4,352.94 and 1,828.24 is: 2,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.74 : 4,352.94 = 1,828.24 : x
  2. Step 2: Convert to fraction form
    3,153.74/4,352.94 = 1,828.24/x
  3. Step 3: Cross multiply
    3,153.74x = 4,352.94 × 1,828.24
  4. Step 4: Simplify right side
    3,153.74x = 7,958,208.14
  5. Step 5: Solve for x
    x = 7,958,208.14/3,153.74
  6. Step 6: Final answer
    x = 2,523.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.