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Finding the Fourth Proportional to 2,980.75, 4,113.50 and 1,654.43

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Solution

The fourth proportional to 2,980.75, 4,113.50 and 1,654.43 is: 2,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.75 : 4,113.50 = 1,654.43 : x
  2. Step 2: Convert to fraction form
    2,980.75/4,113.50 = 1,654.43/x
  3. Step 3: Cross multiply
    2,980.75x = 4,113.50 × 1,654.43
  4. Step 4: Simplify right side
    2,980.75x = 6,805,489.53
  5. Step 5: Solve for x
    x = 6,805,489.53/2,980.75
  6. Step 6: Final answer
    x = 2,283.15

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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.