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Finding the Fourth Proportional to 2,872.80, 4,303.54 and 1,636.48

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Solution

The fourth proportional to 2,872.80, 4,303.54 and 1,636.48 is: 2,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.80 : 4,303.54 = 1,636.48 : x
  2. Step 2: Convert to fraction form
    2,872.80/4,303.54 = 1,636.48/x
  3. Step 3: Cross multiply
    2,872.80x = 4,303.54 × 1,636.48
  4. Step 4: Simplify right side
    2,872.80x = 7,042,657.14
  5. Step 5: Solve for x
    x = 7,042,657.14/2,872.80
  6. Step 6: Final answer
    x = 2,451.50

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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.