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Finding the Fourth Proportional to 2,467.34, 3,701.68 and 1,080.80

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Solution

The fourth proportional to 2,467.34, 3,701.68 and 1,080.80 is: 1,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.34 : 3,701.68 = 1,080.80 : x
  2. Step 2: Convert to fraction form
    2,467.34/3,701.68 = 1,080.80/x
  3. Step 3: Cross multiply
    2,467.34x = 3,701.68 × 1,080.80
  4. Step 4: Simplify right side
    2,467.34x = 4,000,775.74
  5. Step 5: Solve for x
    x = 4,000,775.74/2,467.34
  6. Step 6: Final answer
    x = 1,621.49

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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.