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Finding the Fourth Proportional to 1,619.03, 2,426.99 and 522.65

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Solution

The fourth proportional to 1,619.03, 2,426.99 and 522.65 is: 783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.03 : 2,426.99 = 522.65 : x
  2. Step 2: Convert to fraction form
    1,619.03/2,426.99 = 522.65/x
  3. Step 3: Cross multiply
    1,619.03x = 2,426.99 × 522.65
  4. Step 4: Simplify right side
    1,619.03x = 1,268,469.78
  5. Step 5: Solve for x
    x = 1,268,469.78/1,619.03
  6. Step 6: Final answer
    x = 783.47

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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.