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Finding the Fourth Proportional to 3,041.76, 4,562.41 and 961.84

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Solution

The fourth proportional to 3,041.76, 4,562.41 and 961.84 is: 1,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.76 : 4,562.41 = 961.84 : x
  2. Step 2: Convert to fraction form
    3,041.76/4,562.41 = 961.84/x
  3. Step 3: Cross multiply
    3,041.76x = 4,562.41 × 961.84
  4. Step 4: Simplify right side
    3,041.76x = 4,388,308.43
  5. Step 5: Solve for x
    x = 4,388,308.43/3,041.76
  6. Step 6: Final answer
    x = 1,442.69

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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.