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Finding the Fourth Proportional to 2,980.93, 4,113.62 and 1,654.62

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Solution

The fourth proportional to 2,980.93, 4,113.62 and 1,654.62 is: 2,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.93 : 4,113.62 = 1,654.62 : x
  2. Step 2: Convert to fraction form
    2,980.93/4,113.62 = 1,654.62/x
  3. Step 3: Cross multiply
    2,980.93x = 4,113.62 × 1,654.62
  4. Step 4: Simplify right side
    2,980.93x = 6,806,449.08
  5. Step 5: Solve for x
    x = 6,806,449.08/2,980.93
  6. Step 6: Final answer
    x = 2,283.33

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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.