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Finding the Fourth Proportional to 1,773.16, 2,661.15 and 799.34

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Solution

The fourth proportional to 1,773.16, 2,661.15 and 799.34 is: 1,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.16 : 2,661.15 = 799.34 : x
  2. Step 2: Convert to fraction form
    1,773.16/2,661.15 = 799.34/x
  3. Step 3: Cross multiply
    1,773.16x = 2,661.15 × 799.34
  4. Step 4: Simplify right side
    1,773.16x = 2,127,153.33
  5. Step 5: Solve for x
    x = 2,127,153.33/1,773.16
  6. Step 6: Final answer
    x = 1,199.64

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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.