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Finding the Fourth Proportional to 2,709.76, 4,064.28 and 762.12

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Solution

The fourth proportional to 2,709.76, 4,064.28 and 762.12 is: 1,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.76 : 4,064.28 = 762.12 : x
  2. Step 2: Convert to fraction form
    2,709.76/4,064.28 = 762.12/x
  3. Step 3: Cross multiply
    2,709.76x = 4,064.28 × 762.12
  4. Step 4: Simplify right side
    2,709.76x = 3,097,469.07
  5. Step 5: Solve for x
    x = 3,097,469.07/2,709.76
  6. Step 6: Final answer
    x = 1,143.08

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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.