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Finding the Fourth Proportional to 2,310.84, 3,189.18 and 1,427.16

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Solution

The fourth proportional to 2,310.84, 3,189.18 and 1,427.16 is: 1,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.84 : 3,189.18 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    2,310.84/3,189.18 = 1,427.16/x
  3. Step 3: Cross multiply
    2,310.84x = 3,189.18 × 1,427.16
  4. Step 4: Simplify right side
    2,310.84x = 4,551,470.13
  5. Step 5: Solve for x
    x = 4,551,470.13/2,310.84
  6. Step 6: Final answer
    x = 1,969.62

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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.