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Finding the Fourth Proportional to 2,927.98, 4,392.99 and 1,466.80

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Solution

The fourth proportional to 2,927.98, 4,392.99 and 1,466.80 is: 2,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.98 : 4,392.99 = 1,466.80 : x
  2. Step 2: Convert to fraction form
    2,927.98/4,392.99 = 1,466.80/x
  3. Step 3: Cross multiply
    2,927.98x = 4,392.99 × 1,466.80
  4. Step 4: Simplify right side
    2,927.98x = 6,443,637.73
  5. Step 5: Solve for x
    x = 6,443,637.73/2,927.98
  6. Step 6: Final answer
    x = 2,200.71

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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.