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Finding the Fourth Proportional to 3,041.83, 4,562.51 and 961.79

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Solution

The fourth proportional to 3,041.83, 4,562.51 and 961.79 is: 1,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.83 : 4,562.51 = 961.79 : x
  2. Step 2: Convert to fraction form
    3,041.83/4,562.51 = 961.79/x
  3. Step 3: Cross multiply
    3,041.83x = 4,562.51 × 961.79
  4. Step 4: Simplify right side
    3,041.83x = 4,388,164.76
  5. Step 5: Solve for x
    x = 4,388,164.76/3,041.83
  6. Step 6: Final answer
    x = 1,442.61

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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.