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Finding the Fourth Proportional to 2,284.77, 3,420.39 and 1,503.27

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Solution

The fourth proportional to 2,284.77, 3,420.39 and 1,503.27 is: 2,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.77 : 3,420.39 = 1,503.27 : x
  2. Step 2: Convert to fraction form
    2,284.77/3,420.39 = 1,503.27/x
  3. Step 3: Cross multiply
    2,284.77x = 3,420.39 × 1,503.27
  4. Step 4: Simplify right side
    2,284.77x = 5,141,769.68
  5. Step 5: Solve for x
    x = 5,141,769.68/2,284.77
  6. Step 6: Final answer
    x = 2,250.45

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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.