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Finding the Fourth Proportional to 2,636.57, 3,955.12 and 762.51

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Solution

The fourth proportional to 2,636.57, 3,955.12 and 762.51 is: 1,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.57 : 3,955.12 = 762.51 : x
  2. Step 2: Convert to fraction form
    2,636.57/3,955.12 = 762.51/x
  3. Step 3: Cross multiply
    2,636.57x = 3,955.12 × 762.51
  4. Step 4: Simplify right side
    2,636.57x = 3,015,818.55
  5. Step 5: Solve for x
    x = 3,015,818.55/2,636.57
  6. Step 6: Final answer
    x = 1,143.84

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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.