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Finding the Fourth Proportional to 2,770.94, 4,156.38 and 1,602.70

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Solution

The fourth proportional to 2,770.94, 4,156.38 and 1,602.70 is: 2,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.94 : 4,156.38 = 1,602.70 : x
  2. Step 2: Convert to fraction form
    2,770.94/4,156.38 = 1,602.70/x
  3. Step 3: Cross multiply
    2,770.94x = 4,156.38 × 1,602.70
  4. Step 4: Simplify right side
    2,770.94x = 6,661,430.23
  5. Step 5: Solve for x
    x = 6,661,430.23/2,770.94
  6. Step 6: Final answer
    x = 2,404.03

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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.