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Finding the Fourth Proportional to 4,451.72, 6,677.42 and 1,678.82

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Solution

The fourth proportional to 4,451.72, 6,677.42 and 1,678.82 is: 2,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.72 : 6,677.42 = 1,678.82 : x
  2. Step 2: Convert to fraction form
    4,451.72/6,677.42 = 1,678.82/x
  3. Step 3: Cross multiply
    4,451.72x = 6,677.42 × 1,678.82
  4. Step 4: Simplify right side
    4,451.72x = 11,210,186.24
  5. Step 5: Solve for x
    x = 11,210,186.24/4,451.72
  6. Step 6: Final answer
    x = 2,518.17

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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.