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Finding the Fourth Proportional to 2,954.65, 4,427.80 and 1,638.98

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Solution

The fourth proportional to 2,954.65, 4,427.80 and 1,638.98 is: 2,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.65 : 4,427.80 = 1,638.98 : x
  2. Step 2: Convert to fraction form
    2,954.65/4,427.80 = 1,638.98/x
  3. Step 3: Cross multiply
    2,954.65x = 4,427.80 × 1,638.98
  4. Step 4: Simplify right side
    2,954.65x = 7,257,082.62
  5. Step 5: Solve for x
    x = 7,257,082.62/2,954.65
  6. Step 6: Final answer
    x = 2,456.16

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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.