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Finding the Fourth Proportional to 2,665.42, 3,998.88 and 910.80

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Solution

The fourth proportional to 2,665.42, 3,998.88 and 910.80 is: 1,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.42 : 3,998.88 = 910.80 : x
  2. Step 2: Convert to fraction form
    2,665.42/3,998.88 = 910.80/x
  3. Step 3: Cross multiply
    2,665.42x = 3,998.88 × 910.80
  4. Step 4: Simplify right side
    2,665.42x = 3,642,179.90
  5. Step 5: Solve for x
    x = 3,642,179.90/2,665.42
  6. Step 6: Final answer
    x = 1,366.46

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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.