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Finding the Fourth Proportional to 3,190.42, 4,785.87 and 999.13

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Solution

The fourth proportional to 3,190.42, 4,785.87 and 999.13 is: 1,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.42 : 4,785.87 = 999.13 : x
  2. Step 2: Convert to fraction form
    3,190.42/4,785.87 = 999.13/x
  3. Step 3: Cross multiply
    3,190.42x = 4,785.87 × 999.13
  4. Step 4: Simplify right side
    3,190.42x = 4,781,682.36
  5. Step 5: Solve for x
    x = 4,781,682.36/3,190.42
  6. Step 6: Final answer
    x = 1,498.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.