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Finding the Fourth Proportional to 1,899.19, 2,847.75 and 666.49

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Solution

The fourth proportional to 1,899.19, 2,847.75 and 666.49 is: 999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.19 : 2,847.75 = 666.49 : x
  2. Step 2: Convert to fraction form
    1,899.19/2,847.75 = 666.49/x
  3. Step 3: Cross multiply
    1,899.19x = 2,847.75 × 666.49
  4. Step 4: Simplify right side
    1,899.19x = 1,897,996.90
  5. Step 5: Solve for x
    x = 1,897,996.90/1,899.19
  6. Step 6: Final answer
    x = 999.37

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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.