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Finding the Fourth Proportional to 2,298.65, 3,168.46 and 1,812.78

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Solution

The fourth proportional to 2,298.65, 3,168.46 and 1,812.78 is: 2,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.65 : 3,168.46 = 1,812.78 : x
  2. Step 2: Convert to fraction form
    2,298.65/3,168.46 = 1,812.78/x
  3. Step 3: Cross multiply
    2,298.65x = 3,168.46 × 1,812.78
  4. Step 4: Simplify right side
    2,298.65x = 5,743,720.92
  5. Step 5: Solve for x
    x = 5,743,720.92/2,298.65
  6. Step 6: Final answer
    x = 2,498.74

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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.