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Finding the Fourth Proportional to 4,600.07, 6,901.12 and 1,678.37

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Solution

The fourth proportional to 4,600.07, 6,901.12 and 1,678.37 is: 2,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.07 : 6,901.12 = 1,678.37 : x
  2. Step 2: Convert to fraction form
    4,600.07/6,901.12 = 1,678.37/x
  3. Step 3: Cross multiply
    4,600.07x = 6,901.12 × 1,678.37
  4. Step 4: Simplify right side
    4,600.07x = 11,582,600.37
  5. Step 5: Solve for x
    x = 11,582,600.37/4,600.07
  6. Step 6: Final answer
    x = 2,517.92

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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.