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Finding the Fourth Proportional to 3,164.68, 4,748.64 and 1,705.24

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Solution

The fourth proportional to 3,164.68, 4,748.64 and 1,705.24 is: 2,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.68 : 4,748.64 = 1,705.24 : x
  2. Step 2: Convert to fraction form
    3,164.68/4,748.64 = 1,705.24/x
  3. Step 3: Cross multiply
    3,164.68x = 4,748.64 × 1,705.24
  4. Step 4: Simplify right side
    3,164.68x = 8,097,570.87
  5. Step 5: Solve for x
    x = 8,097,570.87/3,164.68
  6. Step 6: Final answer
    x = 2,558.73

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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.