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Finding the Fourth Proportional to 2,310.96, 3,189 and 1,316.25

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Solution

The fourth proportional to 2,310.96, 3,189 and 1,316.25 is: 1,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.96 : 3,189 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    2,310.96/3,189 = 1,316.25/x
  3. Step 3: Cross multiply
    2,310.96x = 3,189 × 1,316.25
  4. Step 4: Simplify right side
    2,310.96x = 4,197,521.25
  5. Step 5: Solve for x
    x = 4,197,521.25/2,310.96
  6. Step 6: Final answer
    x = 1,816.35

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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.