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Finding the Fourth Proportional to 4,610.99, 6,917.27 and 1,490.63

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Solution

The fourth proportional to 4,610.99, 6,917.27 and 1,490.63 is: 2,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.99 : 6,917.27 = 1,490.63 : x
  2. Step 2: Convert to fraction form
    4,610.99/6,917.27 = 1,490.63/x
  3. Step 3: Cross multiply
    4,610.99x = 6,917.27 × 1,490.63
  4. Step 4: Simplify right side
    4,610.99x = 10,311,048.14
  5. Step 5: Solve for x
    x = 10,311,048.14/4,610.99
  6. Step 6: Final answer
    x = 2,236.19

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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.