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Finding the Fourth Proportional to 1,685.26, 2,532.94 and 1,394.63

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Solution

The fourth proportional to 1,685.26, 2,532.94 and 1,394.63 is: 2,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.26 : 2,532.94 = 1,394.63 : x
  2. Step 2: Convert to fraction form
    1,685.26/2,532.94 = 1,394.63/x
  3. Step 3: Cross multiply
    1,685.26x = 2,532.94 × 1,394.63
  4. Step 4: Simplify right side
    1,685.26x = 3,532,507.10
  5. Step 5: Solve for x
    x = 3,532,507.10/1,685.26
  6. Step 6: Final answer
    x = 2,096.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.