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Finding the Fourth Proportional to 1,686.70, 2,529.18 and 993.58

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Solution

The fourth proportional to 1,686.70, 2,529.18 and 993.58 is: 1,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.70 : 2,529.18 = 993.58 : x
  2. Step 2: Convert to fraction form
    1,686.70/2,529.18 = 993.58/x
  3. Step 3: Cross multiply
    1,686.70x = 2,529.18 × 993.58
  4. Step 4: Simplify right side
    1,686.70x = 2,512,942.66
  5. Step 5: Solve for x
    x = 2,512,942.66/1,686.70
  6. Step 6: Final answer
    x = 1,489.86

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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.