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Finding the Fourth Proportional to 4,545, 6,814.70 and 1,768.43

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Solution

The fourth proportional to 4,545, 6,814.70 and 1,768.43 is: 2,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,545 : 6,814.70 = 1,768.43 : x
  2. Step 2: Convert to fraction form
    4,545/6,814.70 = 1,768.43/x
  3. Step 3: Cross multiply
    4,545x = 6,814.70 × 1,768.43
  4. Step 4: Simplify right side
    4,545x = 12,051,341.38
  5. Step 5: Solve for x
    x = 12,051,341.38/4,545
  6. Step 6: Final answer
    x = 2,651.56

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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.