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Finding the Fourth Proportional to 1,628.35, 2,444.97 and 1,571.65

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Solution

The fourth proportional to 1,628.35, 2,444.97 and 1,571.65 is: 2,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.35 : 2,444.97 = 1,571.65 : x
  2. Step 2: Convert to fraction form
    1,628.35/2,444.97 = 1,571.65/x
  3. Step 3: Cross multiply
    1,628.35x = 2,444.97 × 1,571.65
  4. Step 4: Simplify right side
    1,628.35x = 3,842,637.10
  5. Step 5: Solve for x
    x = 3,842,637.10/1,628.35
  6. Step 6: Final answer
    x = 2,359.83

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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.