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Finding the Fourth Proportional to 3,043.70, 4,199.28 and 1,980.98

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Solution

The fourth proportional to 3,043.70, 4,199.28 and 1,980.98 is: 2,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.70 : 4,199.28 = 1,980.98 : x
  2. Step 2: Convert to fraction form
    3,043.70/4,199.28 = 1,980.98/x
  3. Step 3: Cross multiply
    3,043.70x = 4,199.28 × 1,980.98
  4. Step 4: Simplify right side
    3,043.70x = 8,318,689.69
  5. Step 5: Solve for x
    x = 8,318,689.69/3,043.70
  6. Step 6: Final answer
    x = 2,733.08

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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.