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Finding the Fourth Proportional to 3,030.99, 4,546.77 and 1,182.26

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Solution

The fourth proportional to 3,030.99, 4,546.77 and 1,182.26 is: 1,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.99 : 4,546.77 = 1,182.26 : x
  2. Step 2: Convert to fraction form
    3,030.99/4,546.77 = 1,182.26/x
  3. Step 3: Cross multiply
    3,030.99x = 4,546.77 × 1,182.26
  4. Step 4: Simplify right side
    3,030.99x = 5,375,441.57
  5. Step 5: Solve for x
    x = 5,375,441.57/3,030.99
  6. Step 6: Final answer
    x = 1,773.49

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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.