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Finding the Fourth Proportional to 3,131.69, 4,699.42 and 1,818

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Solution

The fourth proportional to 3,131.69, 4,699.42 and 1,818 is: 2,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.69 : 4,699.42 = 1,818 : x
  2. Step 2: Convert to fraction form
    3,131.69/4,699.42 = 1,818/x
  3. Step 3: Cross multiply
    3,131.69x = 4,699.42 × 1,818
  4. Step 4: Simplify right side
    3,131.69x = 8,543,541.02
  5. Step 5: Solve for x
    x = 8,543,541.02/3,131.69
  6. Step 6: Final answer
    x = 2,728.10

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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.