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Finding the Fourth Proportional to 3,041.67, 4,563.15 and 962.28

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Solution

The fourth proportional to 3,041.67, 4,563.15 and 962.28 is: 1,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.67 : 4,563.15 = 962.28 : x
  2. Step 2: Convert to fraction form
    3,041.67/4,563.15 = 962.28/x
  3. Step 3: Cross multiply
    3,041.67x = 4,563.15 × 962.28
  4. Step 4: Simplify right side
    3,041.67x = 4,391,027.98
  5. Step 5: Solve for x
    x = 4,391,027.98/3,041.67
  6. Step 6: Final answer
    x = 1,443.62

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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.