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Finding the Fourth Proportional to 3,190.35, 4,785.53 and 999.12

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Solution

The fourth proportional to 3,190.35, 4,785.53 and 999.12 is: 1,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.35 : 4,785.53 = 999.12 : x
  2. Step 2: Convert to fraction form
    3,190.35/4,785.53 = 999.12/x
  3. Step 3: Cross multiply
    3,190.35x = 4,785.53 × 999.12
  4. Step 4: Simplify right side
    3,190.35x = 4,781,313.74
  5. Step 5: Solve for x
    x = 4,781,313.74/3,190.35
  6. Step 6: Final answer
    x = 1,498.68

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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.