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Finding the Fourth Proportional to 2,314, 3,189.43 and 1,754.29

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Solution

The fourth proportional to 2,314, 3,189.43 and 1,754.29 is: 2,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 3,189.43 = 1,754.29 : x
  2. Step 2: Convert to fraction form
    2,314/3,189.43 = 1,754.29/x
  3. Step 3: Cross multiply
    2,314x = 3,189.43 × 1,754.29
  4. Step 4: Simplify right side
    2,314x = 5,595,185.15
  5. Step 5: Solve for x
    x = 5,595,185.15/2,314
  6. Step 6: Final answer
    x = 2,417.97

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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.