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Finding the Fourth Proportional to 1,705.86, 2,353.77 and 949.56

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Solution

The fourth proportional to 1,705.86, 2,353.77 and 949.56 is: 1,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.86 : 2,353.77 = 949.56 : x
  2. Step 2: Convert to fraction form
    1,705.86/2,353.77 = 949.56/x
  3. Step 3: Cross multiply
    1,705.86x = 2,353.77 × 949.56
  4. Step 4: Simplify right side
    1,705.86x = 2,235,037.01
  5. Step 5: Solve for x
    x = 2,235,037.01/1,705.86
  6. Step 6: Final answer
    x = 1,310.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.