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Finding the Fourth Proportional to 3,458.66, 4,773.36 and 1,966.80

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Solution

The fourth proportional to 3,458.66, 4,773.36 and 1,966.80 is: 2,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.66 : 4,773.36 = 1,966.80 : x
  2. Step 2: Convert to fraction form
    3,458.66/4,773.36 = 1,966.80/x
  3. Step 3: Cross multiply
    3,458.66x = 4,773.36 × 1,966.80
  4. Step 4: Simplify right side
    3,458.66x = 9,388,244.45
  5. Step 5: Solve for x
    x = 9,388,244.45/3,458.66
  6. Step 6: Final answer
    x = 2,714.42

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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.