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Finding the Fourth Proportional to 2,064.08, 3,094.16 and 765.20

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Solution

The fourth proportional to 2,064.08, 3,094.16 and 765.20 is: 1,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.08 : 3,094.16 = 765.20 : x
  2. Step 2: Convert to fraction form
    2,064.08/3,094.16 = 765.20/x
  3. Step 3: Cross multiply
    2,064.08x = 3,094.16 × 765.20
  4. Step 4: Simplify right side
    2,064.08x = 2,367,651.23
  5. Step 5: Solve for x
    x = 2,367,651.23/2,064.08
  6. Step 6: Final answer
    x = 1,147.07

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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.