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Finding the Fourth Proportional to 2,596, 3,894.64 and 772

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Solution

The fourth proportional to 2,596, 3,894.64 and 772 is: 1,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,894.64 = 772 : x
  2. Step 2: Convert to fraction form
    2,596/3,894.64 = 772/x
  3. Step 3: Cross multiply
    2,596x = 3,894.64 × 772
  4. Step 4: Simplify right side
    2,596x = 3,006,662.08
  5. Step 5: Solve for x
    x = 3,006,662.08/2,596
  6. Step 6: Final answer
    x = 1,158.19

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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.