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Finding the Fourth Proportional to 1,903.74, 2,847.96 and 1,706.82

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Solution

The fourth proportional to 1,903.74, 2,847.96 and 1,706.82 is: 2,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.74 : 2,847.96 = 1,706.82 : x
  2. Step 2: Convert to fraction form
    1,903.74/2,847.96 = 1,706.82/x
  3. Step 3: Cross multiply
    1,903.74x = 2,847.96 × 1,706.82
  4. Step 4: Simplify right side
    1,903.74x = 4,860,955.09
  5. Step 5: Solve for x
    x = 4,860,955.09/1,903.74
  6. Step 6: Final answer
    x = 2,553.37

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Why These Related Problems?

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