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Finding the Fourth Proportional to 4,785.98, 7,178.97 and 1,499.33

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Solution

The fourth proportional to 4,785.98, 7,178.97 and 1,499.33 is: 2,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.98 : 7,178.97 = 1,499.33 : x
  2. Step 2: Convert to fraction form
    4,785.98/7,178.97 = 1,499.33/x
  3. Step 3: Cross multiply
    4,785.98x = 7,178.97 × 1,499.33
  4. Step 4: Simplify right side
    4,785.98x = 10,763,663.04
  5. Step 5: Solve for x
    x = 10,763,663.04/4,785.98
  6. Step 6: Final answer
    x = 2,249.00

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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.