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Finding the Fourth Proportional to 3,263.32, 4,503.39 and 1,771.24

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Solution

The fourth proportional to 3,263.32, 4,503.39 and 1,771.24 is: 2,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.32 : 4,503.39 = 1,771.24 : x
  2. Step 2: Convert to fraction form
    3,263.32/4,503.39 = 1,771.24/x
  3. Step 3: Cross multiply
    3,263.32x = 4,503.39 × 1,771.24
  4. Step 4: Simplify right side
    3,263.32x = 7,976,583.19
  5. Step 5: Solve for x
    x = 7,976,583.19/3,263.32
  6. Step 6: Final answer
    x = 2,444.31

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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.