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Finding the Fourth Proportional to 1,616.15, 2,424.60 and 505.47

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Solution

The fourth proportional to 1,616.15, 2,424.60 and 505.47 is: 758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.15 : 2,424.60 = 505.47 : x
  2. Step 2: Convert to fraction form
    1,616.15/2,424.60 = 505.47/x
  3. Step 3: Cross multiply
    1,616.15x = 2,424.60 × 505.47
  4. Step 4: Simplify right side
    1,616.15x = 1,225,571.65
  5. Step 5: Solve for x
    x = 1,225,571.65/1,616.15
  6. Step 6: Final answer
    x = 758.33

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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.