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Finding the Fourth Proportional to 2,287.13, 3,422.49 and 1,980.04

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Solution

The fourth proportional to 2,287.13, 3,422.49 and 1,980.04 is: 2,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.13 : 3,422.49 = 1,980.04 : x
  2. Step 2: Convert to fraction form
    2,287.13/3,422.49 = 1,980.04/x
  3. Step 3: Cross multiply
    2,287.13x = 3,422.49 × 1,980.04
  4. Step 4: Simplify right side
    2,287.13x = 6,776,667.10
  5. Step 5: Solve for x
    x = 6,776,667.10/2,287.13
  6. Step 6: Final answer
    x = 2,962.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.