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Finding the Fourth Proportional to 2,410.44, 3,323.70 and 1,966.98

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Solution

The fourth proportional to 2,410.44, 3,323.70 and 1,966.98 is: 2,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.44 : 3,323.70 = 1,966.98 : x
  2. Step 2: Convert to fraction form
    2,410.44/3,323.70 = 1,966.98/x
  3. Step 3: Cross multiply
    2,410.44x = 3,323.70 × 1,966.98
  4. Step 4: Simplify right side
    2,410.44x = 6,537,651.43
  5. Step 5: Solve for x
    x = 6,537,651.43/2,410.44
  6. Step 6: Final answer
    x = 2,712.22

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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.