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Finding the Fourth Proportional to 1,713.48, 2,570.26 and 789.81

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Solution

The fourth proportional to 1,713.48, 2,570.26 and 789.81 is: 1,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.48 : 2,570.26 = 789.81 : x
  2. Step 2: Convert to fraction form
    1,713.48/2,570.26 = 789.81/x
  3. Step 3: Cross multiply
    1,713.48x = 2,570.26 × 789.81
  4. Step 4: Simplify right side
    1,713.48x = 2,030,017.05
  5. Step 5: Solve for x
    x = 2,030,017.05/1,713.48
  6. Step 6: Final answer
    x = 1,184.73

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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.