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Finding the Fourth Proportional to 4,600.01, 6,901.03 and 1,678.31

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Solution

The fourth proportional to 4,600.01, 6,901.03 and 1,678.31 is: 2,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.01 : 6,901.03 = 1,678.31 : x
  2. Step 2: Convert to fraction form
    4,600.01/6,901.03 = 1,678.31/x
  3. Step 3: Cross multiply
    4,600.01x = 6,901.03 × 1,678.31
  4. Step 4: Simplify right side
    4,600.01x = 11,582,061.13
  5. Step 5: Solve for x
    x = 11,582,061.13/4,600.01
  6. Step 6: Final answer
    x = 2,517.84

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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.