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Finding the Fourth Proportional to 1,641, 2,462.58 and 775.38

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Solution

The fourth proportional to 1,641, 2,462.58 and 775.38 is: 1,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641 : 2,462.58 = 775.38 : x
  2. Step 2: Convert to fraction form
    1,641/2,462.58 = 775.38/x
  3. Step 3: Cross multiply
    1,641x = 2,462.58 × 775.38
  4. Step 4: Simplify right side
    1,641x = 1,909,435.28
  5. Step 5: Solve for x
    x = 1,909,435.28/1,641
  6. Step 6: Final answer
    x = 1,163.58

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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.