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Finding the Fourth Proportional to 2,665.62, 3,996.90 and 910.05

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Solution

The fourth proportional to 2,665.62, 3,996.90 and 910.05 is: 1,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.62 : 3,996.90 = 910.05 : x
  2. Step 2: Convert to fraction form
    2,665.62/3,996.90 = 910.05/x
  3. Step 3: Cross multiply
    2,665.62x = 3,996.90 × 910.05
  4. Step 4: Simplify right side
    2,665.62x = 3,637,378.85
  5. Step 5: Solve for x
    x = 3,637,378.85/2,665.62
  6. Step 6: Final answer
    x = 1,364.55

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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.