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Finding the Fourth Proportional to 2,304.99, 3,181.16 and 1,310.42

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Solution

The fourth proportional to 2,304.99, 3,181.16 and 1,310.42 is: 1,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.99 : 3,181.16 = 1,310.42 : x
  2. Step 2: Convert to fraction form
    2,304.99/3,181.16 = 1,310.42/x
  3. Step 3: Cross multiply
    2,304.99x = 3,181.16 × 1,310.42
  4. Step 4: Simplify right side
    2,304.99x = 4,168,655.69
  5. Step 5: Solve for x
    x = 4,168,655.69/2,304.99
  6. Step 6: Final answer
    x = 1,808.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.