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Finding the Fourth Proportional to 2,980.71, 4,113.41 and 1,654.53

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Solution

The fourth proportional to 2,980.71, 4,113.41 and 1,654.53 is: 2,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.71 : 4,113.41 = 1,654.53 : x
  2. Step 2: Convert to fraction form
    2,980.71/4,113.41 = 1,654.53/x
  3. Step 3: Cross multiply
    2,980.71x = 4,113.41 × 1,654.53
  4. Step 4: Simplify right side
    2,980.71x = 6,805,760.25
  5. Step 5: Solve for x
    x = 6,805,760.25/2,980.71
  6. Step 6: Final answer
    x = 2,283.27

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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.