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Finding the Fourth Proportional to 3,002.42, 4,505.94 and 1,962.14

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Solution

The fourth proportional to 3,002.42, 4,505.94 and 1,962.14 is: 2,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.42 : 4,505.94 = 1,962.14 : x
  2. Step 2: Convert to fraction form
    3,002.42/4,505.94 = 1,962.14/x
  3. Step 3: Cross multiply
    3,002.42x = 4,505.94 × 1,962.14
  4. Step 4: Simplify right side
    3,002.42x = 8,841,285.11
  5. Step 5: Solve for x
    x = 8,841,285.11/3,002.42
  6. Step 6: Final answer
    x = 2,944.72

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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.