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Finding the Fourth Proportional to 2,310.99, 3,188.36 and 1,316.01

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Solution

The fourth proportional to 2,310.99, 3,188.36 and 1,316.01 is: 1,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.99 : 3,188.36 = 1,316.01 : x
  2. Step 2: Convert to fraction form
    2,310.99/3,188.36 = 1,316.01/x
  3. Step 3: Cross multiply
    2,310.99x = 3,188.36 × 1,316.01
  4. Step 4: Simplify right side
    2,310.99x = 4,195,913.64
  5. Step 5: Solve for x
    x = 4,195,913.64/2,310.99
  6. Step 6: Final answer
    x = 1,815.63

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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.