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Finding the Fourth Proportional to 3,013.94, 4,517.91 and 1,453.50

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Solution

The fourth proportional to 3,013.94, 4,517.91 and 1,453.50 is: 2,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.94 : 4,517.91 = 1,453.50 : x
  2. Step 2: Convert to fraction form
    3,013.94/4,517.91 = 1,453.50/x
  3. Step 3: Cross multiply
    3,013.94x = 4,517.91 × 1,453.50
  4. Step 4: Simplify right side
    3,013.94x = 6,566,782.19
  5. Step 5: Solve for x
    x = 6,566,782.19/3,013.94
  6. Step 6: Final answer
    x = 2,178.80

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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.