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Finding the Fourth Proportional to 3,245.81, 4,868.02 and 1,165.93

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Solution

The fourth proportional to 3,245.81, 4,868.02 and 1,165.93 is: 1,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.81 : 4,868.02 = 1,165.93 : x
  2. Step 2: Convert to fraction form
    3,245.81/4,868.02 = 1,165.93/x
  3. Step 3: Cross multiply
    3,245.81x = 4,868.02 × 1,165.93
  4. Step 4: Simplify right side
    3,245.81x = 5,675,759.85
  5. Step 5: Solve for x
    x = 5,675,759.85/3,245.81
  6. Step 6: Final answer
    x = 1,748.64

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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.