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Finding the Fourth Proportional to 1,759.40, 2,639.21 and 589.36

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Solution

The fourth proportional to 1,759.40, 2,639.21 and 589.36 is: 884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.40 : 2,639.21 = 589.36 : x
  2. Step 2: Convert to fraction form
    1,759.40/2,639.21 = 589.36/x
  3. Step 3: Cross multiply
    1,759.40x = 2,639.21 × 589.36
  4. Step 4: Simplify right side
    1,759.40x = 1,555,428.66
  5. Step 5: Solve for x
    x = 1,555,428.66/1,759.40
  6. Step 6: Final answer
    x = 884.07

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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.