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Finding the Fourth Proportional to 3,107.49, 4,661.50 and 1,352.55

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Solution

The fourth proportional to 3,107.49, 4,661.50 and 1,352.55 is: 2,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.49 : 4,661.50 = 1,352.55 : x
  2. Step 2: Convert to fraction form
    3,107.49/4,661.50 = 1,352.55/x
  3. Step 3: Cross multiply
    3,107.49x = 4,661.50 × 1,352.55
  4. Step 4: Simplify right side
    3,107.49x = 6,304,925.92
  5. Step 5: Solve for x
    x = 6,304,925.92/3,107.49
  6. Step 6: Final answer
    x = 2,028.94

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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.