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Finding the Fourth Proportional to 2,894.96, 4,324.84 and 1,846.62

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Solution

The fourth proportional to 2,894.96, 4,324.84 and 1,846.62 is: 2,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.96 : 4,324.84 = 1,846.62 : x
  2. Step 2: Convert to fraction form
    2,894.96/4,324.84 = 1,846.62/x
  3. Step 3: Cross multiply
    2,894.96x = 4,324.84 × 1,846.62
  4. Step 4: Simplify right side
    2,894.96x = 7,986,336.04
  5. Step 5: Solve for x
    x = 7,986,336.04/2,894.96
  6. Step 6: Final answer
    x = 2,758.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.