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Finding the Fourth Proportional to 3,191.16, 4,786.98 and 999.90

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Solution

The fourth proportional to 3,191.16, 4,786.98 and 999.90 is: 1,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.16 : 4,786.98 = 999.90 : x
  2. Step 2: Convert to fraction form
    3,191.16/4,786.98 = 999.90/x
  3. Step 3: Cross multiply
    3,191.16x = 4,786.98 × 999.90
  4. Step 4: Simplify right side
    3,191.16x = 4,786,501.30
  5. Step 5: Solve for x
    x = 4,786,501.30/3,191.16
  6. Step 6: Final answer
    x = 1,499.93

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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.