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Finding the Fourth Proportional to 1,966.26, 2,714.32 and 1,219.98

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Solution

The fourth proportional to 1,966.26, 2,714.32 and 1,219.98 is: 1,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.26 : 2,714.32 = 1,219.98 : x
  2. Step 2: Convert to fraction form
    1,966.26/2,714.32 = 1,219.98/x
  3. Step 3: Cross multiply
    1,966.26x = 2,714.32 × 1,219.98
  4. Step 4: Simplify right side
    1,966.26x = 3,311,416.11
  5. Step 5: Solve for x
    x = 3,311,416.11/1,966.26
  6. Step 6: Final answer
    x = 1,684.12

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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.