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Finding the Fourth Proportional to 4,600.44, 6,901.68 and 1,678.74

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Solution

The fourth proportional to 4,600.44, 6,901.68 and 1,678.74 is: 2,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.44 : 6,901.68 = 1,678.74 : x
  2. Step 2: Convert to fraction form
    4,600.44/6,901.68 = 1,678.74/x
  3. Step 3: Cross multiply
    4,600.44x = 6,901.68 × 1,678.74
  4. Step 4: Simplify right side
    4,600.44x = 11,586,126.28
  5. Step 5: Solve for x
    x = 11,586,126.28/4,600.44
  6. Step 6: Final answer
    x = 2,518.48

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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.