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Finding the Fourth Proportional to 1,924.96, 2,883.44 and 1,155.04

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Solution

The fourth proportional to 1,924.96, 2,883.44 and 1,155.04 is: 1,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.96 : 2,883.44 = 1,155.04 : x
  2. Step 2: Convert to fraction form
    1,924.96/2,883.44 = 1,155.04/x
  3. Step 3: Cross multiply
    1,924.96x = 2,883.44 × 1,155.04
  4. Step 4: Simplify right side
    1,924.96x = 3,330,488.54
  5. Step 5: Solve for x
    x = 3,330,488.54/1,924.96
  6. Step 6: Final answer
    x = 1,730.16

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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.