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Finding the Fourth Proportional to 1,665.08, 2,496.89 and 884.90

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Solution

The fourth proportional to 1,665.08, 2,496.89 and 884.90 is: 1,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.08 : 2,496.89 = 884.90 : x
  2. Step 2: Convert to fraction form
    1,665.08/2,496.89 = 884.90/x
  3. Step 3: Cross multiply
    1,665.08x = 2,496.89 × 884.90
  4. Step 4: Simplify right side
    1,665.08x = 2,209,489.35
  5. Step 5: Solve for x
    x = 2,209,489.35/1,665.08
  6. Step 6: Final answer
    x = 1,326.96

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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.