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Finding the Fourth Proportional to 3,191.05, 4,785.88 and 999.49

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Solution

The fourth proportional to 3,191.05, 4,785.88 and 999.49 is: 1,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.05 : 4,785.88 = 999.49 : x
  2. Step 2: Convert to fraction form
    3,191.05/4,785.88 = 999.49/x
  3. Step 3: Cross multiply
    3,191.05x = 4,785.88 × 999.49
  4. Step 4: Simplify right side
    3,191.05x = 4,783,410.27
  5. Step 5: Solve for x
    x = 4,783,410.27/3,191.05
  6. Step 6: Final answer
    x = 1,499.01

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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.