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Finding the Fourth Proportional to 2,980.83, 4,113.72 and 1,654.68

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Solution

The fourth proportional to 2,980.83, 4,113.72 and 1,654.68 is: 2,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.83 : 4,113.72 = 1,654.68 : x
  2. Step 2: Convert to fraction form
    2,980.83/4,113.72 = 1,654.68/x
  3. Step 3: Cross multiply
    2,980.83x = 4,113.72 × 1,654.68
  4. Step 4: Simplify right side
    2,980.83x = 6,806,890.21
  5. Step 5: Solve for x
    x = 6,806,890.21/2,980.83
  6. Step 6: Final answer
    x = 2,283.56

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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.