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Finding the Fourth Proportional to 1,719.89, 2,577.71 and 794.19

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Solution

The fourth proportional to 1,719.89, 2,577.71 and 794.19 is: 1,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.89 : 2,577.71 = 794.19 : x
  2. Step 2: Convert to fraction form
    1,719.89/2,577.71 = 794.19/x
  3. Step 3: Cross multiply
    1,719.89x = 2,577.71 × 794.19
  4. Step 4: Simplify right side
    1,719.89x = 2,047,193.49
  5. Step 5: Solve for x
    x = 2,047,193.49/1,719.89
  6. Step 6: Final answer
    x = 1,190.31

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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.