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Finding the Fourth Proportional to 1,685.56, 2,523.30 and 1,358.20

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Solution

The fourth proportional to 1,685.56, 2,523.30 and 1,358.20 is: 2,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.56 : 2,523.30 = 1,358.20 : x
  2. Step 2: Convert to fraction form
    1,685.56/2,523.30 = 1,358.20/x
  3. Step 3: Cross multiply
    1,685.56x = 2,523.30 × 1,358.20
  4. Step 4: Simplify right side
    1,685.56x = 3,427,146.06
  5. Step 5: Solve for x
    x = 3,427,146.06/1,685.56
  6. Step 6: Final answer
    x = 2,033.24

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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.