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Finding the Fourth Proportional to 3,165.62, 4,749.84 and 1,703.07

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Solution

The fourth proportional to 3,165.62, 4,749.84 and 1,703.07 is: 2,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.62 : 4,749.84 = 1,703.07 : x
  2. Step 2: Convert to fraction form
    3,165.62/4,749.84 = 1,703.07/x
  3. Step 3: Cross multiply
    3,165.62x = 4,749.84 × 1,703.07
  4. Step 4: Simplify right side
    3,165.62x = 8,089,310.01
  5. Step 5: Solve for x
    x = 8,089,310.01/3,165.62
  6. Step 6: Final answer
    x = 2,555.37

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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.