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Finding the Fourth Proportional to 3,190.34, 4,785.51 and 999.26

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Solution

The fourth proportional to 3,190.34, 4,785.51 and 999.26 is: 1,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.34 : 4,785.51 = 999.26 : x
  2. Step 2: Convert to fraction form
    3,190.34/4,785.51 = 999.26/x
  3. Step 3: Cross multiply
    3,190.34x = 4,785.51 × 999.26
  4. Step 4: Simplify right side
    3,190.34x = 4,781,944.80
  5. Step 5: Solve for x
    x = 4,781,944.80/3,190.34
  6. Step 6: Final answer
    x = 1,498.88

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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.