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Finding the Fourth Proportional to 2,341.62, 3,513.72 and 954.85

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Solution

The fourth proportional to 2,341.62, 3,513.72 and 954.85 is: 1,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.62 : 3,513.72 = 954.85 : x
  2. Step 2: Convert to fraction form
    2,341.62/3,513.72 = 954.85/x
  3. Step 3: Cross multiply
    2,341.62x = 3,513.72 × 954.85
  4. Step 4: Simplify right side
    2,341.62x = 3,355,057.97
  5. Step 5: Solve for x
    x = 3,355,057.97/2,341.62
  6. Step 6: Final answer
    x = 1,432.80

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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.