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Finding the Fourth Proportional to 1,616.33, 2,229.74 and 1,056.83

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Solution

The fourth proportional to 1,616.33, 2,229.74 and 1,056.83 is: 1,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.33 : 2,229.74 = 1,056.83 : x
  2. Step 2: Convert to fraction form
    1,616.33/2,229.74 = 1,056.83/x
  3. Step 3: Cross multiply
    1,616.33x = 2,229.74 × 1,056.83
  4. Step 4: Simplify right side
    1,616.33x = 2,356,443.65
  5. Step 5: Solve for x
    x = 2,356,443.65/1,616.33
  6. Step 6: Final answer
    x = 1,457.90

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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.