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Finding the Fourth Proportional to 2,814.94, 4,217.80 and 965.06

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Solution

The fourth proportional to 2,814.94, 4,217.80 and 965.06 is: 1,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.94 : 4,217.80 = 965.06 : x
  2. Step 2: Convert to fraction form
    2,814.94/4,217.80 = 965.06/x
  3. Step 3: Cross multiply
    2,814.94x = 4,217.80 × 965.06
  4. Step 4: Simplify right side
    2,814.94x = 4,070,425.24
  5. Step 5: Solve for x
    x = 4,070,425.24/2,814.94
  6. Step 6: Final answer
    x = 1,446.01

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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.