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Finding the Fourth Proportional to 2,980.50, 4,113.23 and 1,654.17

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Solution

The fourth proportional to 2,980.50, 4,113.23 and 1,654.17 is: 2,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.50 : 4,113.23 = 1,654.17 : x
  2. Step 2: Convert to fraction form
    2,980.50/4,113.23 = 1,654.17/x
  3. Step 3: Cross multiply
    2,980.50x = 4,113.23 × 1,654.17
  4. Step 4: Simplify right side
    2,980.50x = 6,803,990.42
  5. Step 5: Solve for x
    x = 6,803,990.42/2,980.50
  6. Step 6: Final answer
    x = 2,282.84

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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.