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Finding the Fourth Proportional to 2,788.68, 4,183.56 and 1,632

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Solution

The fourth proportional to 2,788.68, 4,183.56 and 1,632 is: 2,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.68 : 4,183.56 = 1,632 : x
  2. Step 2: Convert to fraction form
    2,788.68/4,183.56 = 1,632/x
  3. Step 3: Cross multiply
    2,788.68x = 4,183.56 × 1,632
  4. Step 4: Simplify right side
    2,788.68x = 6,827,569.92
  5. Step 5: Solve for x
    x = 6,827,569.92/2,788.68
  6. Step 6: Final answer
    x = 2,448.32

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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.