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Finding the Fourth Proportional to 2,982.10, 4,473.20 and 790.82

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Solution

The fourth proportional to 2,982.10, 4,473.20 and 790.82 is: 1,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.10 : 4,473.20 = 790.82 : x
  2. Step 2: Convert to fraction form
    2,982.10/4,473.20 = 790.82/x
  3. Step 3: Cross multiply
    2,982.10x = 4,473.20 × 790.82
  4. Step 4: Simplify right side
    2,982.10x = 3,537,496.02
  5. Step 5: Solve for x
    x = 3,537,496.02/2,982.10
  6. Step 6: Final answer
    x = 1,186.24

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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.