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Finding the Fourth Proportional to 2,530.66, 3,796.54 and 775.67

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Solution

The fourth proportional to 2,530.66, 3,796.54 and 775.67 is: 1,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.66 : 3,796.54 = 775.67 : x
  2. Step 2: Convert to fraction form
    2,530.66/3,796.54 = 775.67/x
  3. Step 3: Cross multiply
    2,530.66x = 3,796.54 × 775.67
  4. Step 4: Simplify right side
    2,530.66x = 2,944,862.18
  5. Step 5: Solve for x
    x = 2,944,862.18/2,530.66
  6. Step 6: Final answer
    x = 1,163.67

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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.