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Finding the Fourth Proportional to 1,744.67, 2,406.79 and 1,155.70

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Solution

The fourth proportional to 1,744.67, 2,406.79 and 1,155.70 is: 1,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.67 : 2,406.79 = 1,155.70 : x
  2. Step 2: Convert to fraction form
    1,744.67/2,406.79 = 1,155.70/x
  3. Step 3: Cross multiply
    1,744.67x = 2,406.79 × 1,155.70
  4. Step 4: Simplify right side
    1,744.67x = 2,781,527.20
  5. Step 5: Solve for x
    x = 2,781,527.20/1,744.67
  6. Step 6: Final answer
    x = 1,594.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.