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Finding the Fourth Proportional to 2,980.98, 4,114.02 and 1,654.80

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Solution

The fourth proportional to 2,980.98, 4,114.02 and 1,654.80 is: 2,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.98 : 4,114.02 = 1,654.80 : x
  2. Step 2: Convert to fraction form
    2,980.98/4,114.02 = 1,654.80/x
  3. Step 3: Cross multiply
    2,980.98x = 4,114.02 × 1,654.80
  4. Step 4: Simplify right side
    2,980.98x = 6,807,880.30
  5. Step 5: Solve for x
    x = 6,807,880.30/2,980.98
  6. Step 6: Final answer
    x = 2,283.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.