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Finding the Fourth Proportional to 3,157.95, 4,734.48 and 1,596.69

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Solution

The fourth proportional to 3,157.95, 4,734.48 and 1,596.69 is: 2,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.95 : 4,734.48 = 1,596.69 : x
  2. Step 2: Convert to fraction form
    3,157.95/4,734.48 = 1,596.69/x
  3. Step 3: Cross multiply
    3,157.95x = 4,734.48 × 1,596.69
  4. Step 4: Simplify right side
    3,157.95x = 7,559,496.87
  5. Step 5: Solve for x
    x = 7,559,496.87/3,157.95
  6. Step 6: Final answer
    x = 2,393.80

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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.