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Finding the Fourth Proportional to 4,660.29, 6,990.43 and 1,698.95

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Solution

The fourth proportional to 4,660.29, 6,990.43 and 1,698.95 is: 2,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.29 : 6,990.43 = 1,698.95 : x
  2. Step 2: Convert to fraction form
    4,660.29/6,990.43 = 1,698.95/x
  3. Step 3: Cross multiply
    4,660.29x = 6,990.43 × 1,698.95
  4. Step 4: Simplify right side
    4,660.29x = 11,876,404.28
  5. Step 5: Solve for x
    x = 11,876,404.28/4,660.29
  6. Step 6: Final answer
    x = 2,548.43

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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.