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Finding the Fourth Proportional to 2,530.62, 3,794.94 and 775.08

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Solution

The fourth proportional to 2,530.62, 3,794.94 and 775.08 is: 1,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.62 : 3,794.94 = 775.08 : x
  2. Step 2: Convert to fraction form
    2,530.62/3,794.94 = 775.08/x
  3. Step 3: Cross multiply
    2,530.62x = 3,794.94 × 775.08
  4. Step 4: Simplify right side
    2,530.62x = 2,941,382.10
  5. Step 5: Solve for x
    x = 2,941,382.10/2,530.62
  6. Step 6: Final answer
    x = 1,162.32

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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.