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Finding the Fourth Proportional to 4,451.63, 6,678.59 and 1,678.32

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Solution

The fourth proportional to 4,451.63, 6,678.59 and 1,678.32 is: 2,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.63 : 6,678.59 = 1,678.32 : x
  2. Step 2: Convert to fraction form
    4,451.63/6,678.59 = 1,678.32/x
  3. Step 3: Cross multiply
    4,451.63x = 6,678.59 × 1,678.32
  4. Step 4: Simplify right side
    4,451.63x = 11,208,802.78
  5. Step 5: Solve for x
    x = 11,208,802.78/4,451.63
  6. Step 6: Final answer
    x = 2,517.91

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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.