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Finding the Fourth Proportional to 2,909.70, 4,364.07 and 1,349.64

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Solution

The fourth proportional to 2,909.70, 4,364.07 and 1,349.64 is: 2,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.70 : 4,364.07 = 1,349.64 : x
  2. Step 2: Convert to fraction form
    2,909.70/4,364.07 = 1,349.64/x
  3. Step 3: Cross multiply
    2,909.70x = 4,364.07 × 1,349.64
  4. Step 4: Simplify right side
    2,909.70x = 5,889,923.43
  5. Step 5: Solve for x
    x = 5,889,923.43/2,909.70
  6. Step 6: Final answer
    x = 2,024.24

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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.