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Finding the Fourth Proportional to 2,909.64, 4,380.45 and 2,564.94

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Solution

The fourth proportional to 2,909.64, 4,380.45 and 2,564.94 is: 3,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.64 : 4,380.45 = 2,564.94 : x
  2. Step 2: Convert to fraction form
    2,909.64/4,380.45 = 2,564.94/x
  3. Step 3: Cross multiply
    2,909.64x = 4,380.45 × 2,564.94
  4. Step 4: Simplify right side
    2,909.64x = 11,235,591.42
  5. Step 5: Solve for x
    x = 11,235,591.42/2,909.64
  6. Step 6: Final answer
    x = 3,861.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.