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Finding the Fourth Proportional to 2,043.49, 3,063.11 and 946.95

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Solution

The fourth proportional to 2,043.49, 3,063.11 and 946.95 is: 1,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.49 : 3,063.11 = 946.95 : x
  2. Step 2: Convert to fraction form
    2,043.49/3,063.11 = 946.95/x
  3. Step 3: Cross multiply
    2,043.49x = 3,063.11 × 946.95
  4. Step 4: Simplify right side
    2,043.49x = 2,900,607.28
  5. Step 5: Solve for x
    x = 2,900,607.28/2,043.49
  6. Step 6: Final answer
    x = 1,419.44

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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.