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Finding the Fourth Proportional to 2,034.90, 2,808.74 and 1,195.64

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Solution

The fourth proportional to 2,034.90, 2,808.74 and 1,195.64 is: 1,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.90 : 2,808.74 = 1,195.64 : x
  2. Step 2: Convert to fraction form
    2,034.90/2,808.74 = 1,195.64/x
  3. Step 3: Cross multiply
    2,034.90x = 2,808.74 × 1,195.64
  4. Step 4: Simplify right side
    2,034.90x = 3,358,241.89
  5. Step 5: Solve for x
    x = 3,358,241.89/2,034.90
  6. Step 6: Final answer
    x = 1,650.32

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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.