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Finding the Fourth Proportional to 3,190.61, 4,785.92 and 999.35

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Solution

The fourth proportional to 3,190.61, 4,785.92 and 999.35 is: 1,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.61 : 4,785.92 = 999.35 : x
  2. Step 2: Convert to fraction form
    3,190.61/4,785.92 = 999.35/x
  3. Step 3: Cross multiply
    3,190.61x = 4,785.92 × 999.35
  4. Step 4: Simplify right side
    3,190.61x = 4,782,801.92
  5. Step 5: Solve for x
    x = 4,782,801.92/3,190.61
  6. Step 6: Final answer
    x = 1,499.02

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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.