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Finding the Fourth Proportional to 2,080.62, 3,117.69 and 1,309.50

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Solution

The fourth proportional to 2,080.62, 3,117.69 and 1,309.50 is: 1,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.62 : 3,117.69 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    2,080.62/3,117.69 = 1,309.50/x
  3. Step 3: Cross multiply
    2,080.62x = 3,117.69 × 1,309.50
  4. Step 4: Simplify right side
    2,080.62x = 4,082,615.06
  5. Step 5: Solve for x
    x = 4,082,615.06/2,080.62
  6. Step 6: Final answer
    x = 1,962.21

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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.