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Finding the Fourth Proportional to 4,451.99, 6,678.38 and 1,165.07

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Solution

The fourth proportional to 4,451.99, 6,678.38 and 1,165.07 is: 1,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.99 : 6,678.38 = 1,165.07 : x
  2. Step 2: Convert to fraction form
    4,451.99/6,678.38 = 1,165.07/x
  3. Step 3: Cross multiply
    4,451.99x = 6,678.38 × 1,165.07
  4. Step 4: Simplify right side
    4,451.99x = 7,780,780.19
  5. Step 5: Solve for x
    x = 7,780,780.19/4,451.99
  6. Step 6: Final answer
    x = 1,747.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.