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Finding the Fourth Proportional to 2,969.62, 4,457.86 and 1,737.92

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Solution

The fourth proportional to 2,969.62, 4,457.86 and 1,737.92 is: 2,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.62 : 4,457.86 = 1,737.92 : x
  2. Step 2: Convert to fraction form
    2,969.62/4,457.86 = 1,737.92/x
  3. Step 3: Cross multiply
    2,969.62x = 4,457.86 × 1,737.92
  4. Step 4: Simplify right side
    2,969.62x = 7,747,404.05
  5. Step 5: Solve for x
    x = 7,747,404.05/2,969.62
  6. Step 6: Final answer
    x = 2,608.89

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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.