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Finding the Fourth Proportional to 3,254.34, 4,880.60 and 1,063.20

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Solution

The fourth proportional to 3,254.34, 4,880.60 and 1,063.20 is: 1,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.34 : 4,880.60 = 1,063.20 : x
  2. Step 2: Convert to fraction form
    3,254.34/4,880.60 = 1,063.20/x
  3. Step 3: Cross multiply
    3,254.34x = 4,880.60 × 1,063.20
  4. Step 4: Simplify right side
    3,254.34x = 5,189,053.92
  5. Step 5: Solve for x
    x = 5,189,053.92/3,254.34
  6. Step 6: Final answer
    x = 1,594.50

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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.