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Finding the Fourth Proportional to 1,846.83, 2,547.18 and 1,183.75

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Solution

The fourth proportional to 1,846.83, 2,547.18 and 1,183.75 is: 1,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.83 : 2,547.18 = 1,183.75 : x
  2. Step 2: Convert to fraction form
    1,846.83/2,547.18 = 1,183.75/x
  3. Step 3: Cross multiply
    1,846.83x = 2,547.18 × 1,183.75
  4. Step 4: Simplify right side
    1,846.83x = 3,015,217.96
  5. Step 5: Solve for x
    x = 3,015,217.96/1,846.83
  6. Step 6: Final answer
    x = 1,632.65

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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.