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Finding the Fourth Proportional to 2,835.42, 4,245.84 and 1,600.98

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Solution

The fourth proportional to 2,835.42, 4,245.84 and 1,600.98 is: 2,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.42 : 4,245.84 = 1,600.98 : x
  2. Step 2: Convert to fraction form
    2,835.42/4,245.84 = 1,600.98/x
  3. Step 3: Cross multiply
    2,835.42x = 4,245.84 × 1,600.98
  4. Step 4: Simplify right side
    2,835.42x = 6,797,504.92
  5. Step 5: Solve for x
    x = 6,797,504.92/2,835.42
  6. Step 6: Final answer
    x = 2,397.35

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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.